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Finding the Fourth Proportional to 45,920.30, 68,734.65 and 42,421.10

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Solution

The fourth proportional to 45,920.30, 68,734.65 and 42,421.10 is: 63,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,920.30 : 68,734.65 = 42,421.10 : x
  2. Step 2: Convert to fraction form
    45,920.30/68,734.65 = 42,421.10/x
  3. Step 3: Cross multiply
    45,920.30x = 68,734.65 × 42,421.10
  4. Step 4: Simplify right side
    45,920.30x = 2,915,799,461.12
  5. Step 5: Solve for x
    x = 2,915,799,461.12/45,920.30
  6. Step 6: Final answer
    x = 63,496.96

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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.