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Finding the Fourth Proportional to 66,403.20, 99,604.80 and 31,411.20

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Solution

The fourth proportional to 66,403.20, 99,604.80 and 31,411.20 is: 47,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,403.20 : 99,604.80 = 31,411.20 : x
  2. Step 2: Convert to fraction form
    66,403.20/99,604.80 = 31,411.20/x
  3. Step 3: Cross multiply
    66,403.20x = 99,604.80 × 31,411.20
  4. Step 4: Simplify right side
    66,403.20x = 3,128,706,293.76
  5. Step 5: Solve for x
    x = 3,128,706,293.76/66,403.20
  6. Step 6: Final answer
    x = 47,116.80

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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.