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Finding the Fourth Proportional to 47,386.98, 65,394.45 and 26,167.86

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Solution

The fourth proportional to 47,386.98, 65,394.45 and 26,167.86 is: 36,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,386.98 : 65,394.45 = 26,167.86 : x
  2. Step 2: Convert to fraction form
    47,386.98/65,394.45 = 26,167.86/x
  3. Step 3: Cross multiply
    47,386.98x = 65,394.45 × 26,167.86
  4. Step 4: Simplify right side
    47,386.98x = 1,711,232,812.38
  5. Step 5: Solve for x
    x = 1,711,232,812.38/47,386.98
  6. Step 6: Final answer
    x = 36,111.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.