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Finding the Fourth Proportional to 53,011.52, 73,155.92 and 29,138

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Solution

The fourth proportional to 53,011.52, 73,155.92 and 29,138 is: 40,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,011.52 : 73,155.92 = 29,138 : x
  2. Step 2: Convert to fraction form
    53,011.52/73,155.92 = 29,138/x
  3. Step 3: Cross multiply
    53,011.52x = 73,155.92 × 29,138
  4. Step 4: Simplify right side
    53,011.52x = 2,131,617,196.96
  5. Step 5: Solve for x
    x = 2,131,617,196.96/53,011.52
  6. Step 6: Final answer
    x = 40,210.45

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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.