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Finding the Fourth Proportional to 53,864, 74,338.08 and 31,526.72

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Solution

The fourth proportional to 53,864, 74,338.08 and 31,526.72 is: 43,510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,864 : 74,338.08 = 31,526.72 : x
  2. Step 2: Convert to fraction form
    53,864/74,338.08 = 31,526.72/x
  3. Step 3: Cross multiply
    53,864x = 74,338.08 × 31,526.72
  4. Step 4: Simplify right side
    53,864x = 2,343,635,833.50
  5. Step 5: Solve for x
    x = 2,343,635,833.50/53,864
  6. Step 6: Final answer
    x = 43,510.24

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