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Finding the Fourth Proportional to 76,304.48, 105,294.46 and 42,764

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Solution

The fourth proportional to 76,304.48, 105,294.46 and 42,764 is: 59,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,304.48 : 105,294.46 = 42,764 : x
  2. Step 2: Convert to fraction form
    76,304.48/105,294.46 = 42,764/x
  3. Step 3: Cross multiply
    76,304.48x = 105,294.46 × 42,764
  4. Step 4: Simplify right side
    76,304.48x = 4,502,812,287.44
  5. Step 5: Solve for x
    x = 4,502,812,287.44/76,304.48
  6. Step 6: Final answer
    x = 59,011.11

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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.