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Finding the Fourth Proportional to 73,681.46, 110,443.50 and 42,023.36

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Solution

The fourth proportional to 73,681.46, 110,443.50 and 42,023.36 is: 62,990.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,681.46 : 110,443.50 = 42,023.36 : x
  2. Step 2: Convert to fraction form
    73,681.46/110,443.50 = 42,023.36/x
  3. Step 3: Cross multiply
    73,681.46x = 110,443.50 × 42,023.36
  4. Step 4: Simplify right side
    73,681.46x = 4,641,206,960.16
  5. Step 5: Solve for x
    x = 4,641,206,960.16/73,681.46
  6. Step 6: Final answer
    x = 62,990.16

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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.