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Finding the Fourth Proportional to 76,338.80, 105,348.18 and 42,349.52

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Solution

The fourth proportional to 76,338.80, 105,348.18 and 42,349.52 is: 58,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,338.80 : 105,348.18 = 42,349.52 : x
  2. Step 2: Convert to fraction form
    76,338.80/105,348.18 = 42,349.52/x
  3. Step 3: Cross multiply
    76,338.80x = 105,348.18 × 42,349.52
  4. Step 4: Simplify right side
    76,338.80x = 4,461,444,117.39
  5. Step 5: Solve for x
    x = 4,461,444,117.39/76,338.80
  6. Step 6: Final answer
    x = 58,442.68

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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.