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Finding the Fourth Proportional to 42,380.76, 63,581.90 and 29,925

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Solution

The fourth proportional to 42,380.76, 63,581.90 and 29,925 is: 44,895.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,380.76 : 63,581.90 = 29,925 : x
  2. Step 2: Convert to fraction form
    42,380.76/63,581.90 = 29,925/x
  3. Step 3: Cross multiply
    42,380.76x = 63,581.90 × 29,925
  4. Step 4: Simplify right side
    42,380.76x = 1,902,688,357.50
  5. Step 5: Solve for x
    x = 1,902,688,357.50/42,380.76
  6. Step 6: Final answer
    x = 44,895.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.