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Finding the Fourth Proportional to 32,480.98, 44,854.70 and 30,712.01

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Solution

The fourth proportional to 32,480.98, 44,854.70 and 30,712.01 is: 42,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,480.98 : 44,854.70 = 30,712.01 : x
  2. Step 2: Convert to fraction form
    32,480.98/44,854.70 = 30,712.01/x
  3. Step 3: Cross multiply
    32,480.98x = 44,854.70 × 30,712.01
  4. Step 4: Simplify right side
    32,480.98x = 1,377,577,847.45
  5. Step 5: Solve for x
    x = 1,377,577,847.45/32,480.98
  6. Step 6: Final answer
    x = 42,411.83

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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.