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Finding the Fourth Proportional to 53,459, 73,688.43 and 42,110.53

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Solution

The fourth proportional to 53,459, 73,688.43 and 42,110.53 is: 58,045.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,459 : 73,688.43 = 42,110.53 : x
  2. Step 2: Convert to fraction form
    53,459/73,688.43 = 42,110.53/x
  3. Step 3: Cross multiply
    53,459x = 73,688.43 × 42,110.53
  4. Step 4: Simplify right side
    53,459x = 3,103,058,842.17
  5. Step 5: Solve for x
    x = 3,103,058,842.17/53,459
  6. Step 6: Final answer
    x = 58,045.58

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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.