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Finding the Fourth Proportional to 76,330.98, 105,333.03 and 42,340.80

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Solution

The fourth proportional to 76,330.98, 105,333.03 and 42,340.80 is: 58,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,330.98 : 105,333.03 = 42,340.80 : x
  2. Step 2: Convert to fraction form
    76,330.98/105,333.03 = 42,340.80/x
  3. Step 3: Cross multiply
    76,330.98x = 105,333.03 × 42,340.80
  4. Step 4: Simplify right side
    76,330.98x = 4,459,884,756.62
  5. Step 5: Solve for x
    x = 4,459,884,756.62/76,330.98
  6. Step 6: Final answer
    x = 58,428.24

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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.