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Finding the Fourth Proportional to 53,194.32, 73,411.92 and 30,537

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Solution

The fourth proportional to 53,194.32, 73,411.92 and 30,537 is: 42,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,194.32 : 73,411.92 = 30,537 : x
  2. Step 2: Convert to fraction form
    53,194.32/73,411.92 = 30,537/x
  3. Step 3: Cross multiply
    53,194.32x = 73,411.92 × 30,537
  4. Step 4: Simplify right side
    53,194.32x = 2,241,779,801.04
  5. Step 5: Solve for x
    x = 2,241,779,801.04/53,194.32
  6. Step 6: Final answer
    x = 42,143.22

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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.