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Finding the Fourth Proportional to 76,319.38, 105,320.68 and 42,785.38

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Solution

The fourth proportional to 76,319.38, 105,320.68 and 42,785.38 is: 59,043.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,319.38 : 105,320.68 = 42,785.38 : x
  2. Step 2: Convert to fraction form
    76,319.38/105,320.68 = 42,785.38/x
  3. Step 3: Cross multiply
    76,319.38x = 105,320.68 × 42,785.38
  4. Step 4: Simplify right side
    76,319.38x = 4,506,185,315.66
  5. Step 5: Solve for x
    x = 4,506,185,315.66/76,319.38
  6. Step 6: Final answer
    x = 59,043.79

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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.