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Finding the Fourth Proportional to 76,459.47, 105,510.39 and 42,470.10

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Solution

The fourth proportional to 76,459.47, 105,510.39 and 42,470.10 is: 58,606.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,459.47 : 105,510.39 = 42,470.10 : x
  2. Step 2: Convert to fraction form
    76,459.47/105,510.39 = 42,470.10/x
  3. Step 3: Cross multiply
    76,459.47x = 105,510.39 × 42,470.10
  4. Step 4: Simplify right side
    76,459.47x = 4,481,036,814.34
  5. Step 5: Solve for x
    x = 4,481,036,814.34/76,459.47
  6. Step 6: Final answer
    x = 58,606.69

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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.