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Finding the Fourth Proportional to 31,897,059.80, 47,845,589.70 and 31,897,059.80

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Solution

The fourth proportional to 31,897,059.80, 47,845,589.70 and 31,897,059.80 is: 47,845,589.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,897,059.80 : 47,845,589.70 = 31,897,059.80 : x
  2. Step 2: Convert to fraction form
    31,897,059.80/47,845,589.70 = 31,897,059.80/x
  3. Step 3: Cross multiply
    31,897,059.80x = 47,845,589.70 × 31,897,059.80
  4. Step 4: Simplify right side
    31,897,059.80x = 1,526,133,635,827,164.25
  5. Step 5: Solve for x
    x = 1,526,133,635,827,164.25/31,897,059.80
  6. Step 6: Final answer
    x = 47,845,589.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.