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Finding the Fourth Proportional to 76,298.28, 105,289.74 and 42,306.90

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Solution

The fourth proportional to 76,298.28, 105,289.74 and 42,306.90 is: 58,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,298.28 : 105,289.74 = 42,306.90 : x
  2. Step 2: Convert to fraction form
    76,298.28/105,289.74 = 42,306.90/x
  3. Step 3: Cross multiply
    76,298.28x = 105,289.74 × 42,306.90
  4. Step 4: Simplify right side
    76,298.28x = 4,454,482,501.21
  5. Step 5: Solve for x
    x = 4,454,482,501.21/76,298.28
  6. Step 6: Final answer
    x = 58,382.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.