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Finding the Fourth Proportional to 72,002.80, 108,020.40 and 42,405.40

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Solution

The fourth proportional to 72,002.80, 108,020.40 and 42,405.40 is: 63,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,002.80 : 108,020.40 = 42,405.40 : x
  2. Step 2: Convert to fraction form
    72,002.80/108,020.40 = 42,405.40/x
  3. Step 3: Cross multiply
    72,002.80x = 108,020.40 × 42,405.40
  4. Step 4: Simplify right side
    72,002.80x = 4,580,648,270.16
  5. Step 5: Solve for x
    x = 4,580,648,270.16/72,002.80
  6. Step 6: Final answer
    x = 63,617.64

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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.