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Finding the Fourth Proportional to 76,471.76, 105,532.38 and 42,483.32

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Solution

The fourth proportional to 76,471.76, 105,532.38 and 42,483.32 is: 58,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,471.76 : 105,532.38 = 42,483.32 : x
  2. Step 2: Convert to fraction form
    76,471.76/105,532.38 = 42,483.32/x
  3. Step 3: Cross multiply
    76,471.76x = 105,532.38 × 42,483.32
  4. Step 4: Simplify right side
    76,471.76x = 4,483,365,869.90
  5. Step 5: Solve for x
    x = 4,483,365,869.90/76,471.76
  6. Step 6: Final answer
    x = 58,627.73

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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.