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Finding the Fourth Proportional to 54,730.12, 75,527 and 30,864.52

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Solution

The fourth proportional to 54,730.12, 75,527 and 30,864.52 is: 42,592.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,730.12 : 75,527 = 30,864.52 : x
  2. Step 2: Convert to fraction form
    54,730.12/75,527 = 30,864.52/x
  3. Step 3: Cross multiply
    54,730.12x = 75,527 × 30,864.52
  4. Step 4: Simplify right side
    54,730.12x = 2,331,104,602.04
  5. Step 5: Solve for x
    x = 2,331,104,602.04/54,730.12
  6. Step 6: Final answer
    x = 42,592.72

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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.