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Finding the Fourth Proportional to 53,897, 74,377.86 and 31,541

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Solution

The fourth proportional to 53,897, 74,377.86 and 31,541 is: 43,526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,897 : 74,377.86 = 31,541 : x
  2. Step 2: Convert to fraction form
    53,897/74,377.86 = 31,541/x
  3. Step 3: Cross multiply
    53,897x = 74,377.86 × 31,541
  4. Step 4: Simplify right side
    53,897x = 2,345,952,082.26
  5. Step 5: Solve for x
    x = 2,345,952,082.26/53,897
  6. Step 6: Final answer
    x = 43,526.58

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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.