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Finding the Fourth Proportional to 53,460, 73,689.81 and 42,111.53

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Solution

The fourth proportional to 53,460, 73,689.81 and 42,111.53 is: 58,046.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,460 : 73,689.81 = 42,111.53 : x
  2. Step 2: Convert to fraction form
    53,460/73,689.81 = 42,111.53/x
  3. Step 3: Cross multiply
    53,460x = 73,689.81 × 42,111.53
  4. Step 4: Simplify right side
    53,460x = 3,103,190,644.51
  5. Step 5: Solve for x
    x = 3,103,190,644.51/53,460
  6. Step 6: Final answer
    x = 58,046.96

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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.