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Finding the Fourth Proportional to 76,338.18, 105,347.32 and 42,348.89

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Solution

The fourth proportional to 76,338.18, 105,347.32 and 42,348.89 is: 58,441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,338.18 : 105,347.32 = 42,348.89 : x
  2. Step 2: Convert to fraction form
    76,338.18/105,347.32 = 42,348.89/x
  3. Step 3: Cross multiply
    76,338.18x = 105,347.32 × 42,348.89
  4. Step 4: Simplify right side
    76,338.18x = 4,461,341,854.73
  5. Step 5: Solve for x
    x = 4,461,341,854.73/76,338.18
  6. Step 6: Final answer
    x = 58,441.82

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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.