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Finding the Fourth Proportional to 71,034, 98,030.04 and 40,829.04

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Solution

The fourth proportional to 71,034, 98,030.04 and 40,829.04 is: 56,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,034 : 98,030.04 = 40,829.04 : x
  2. Step 2: Convert to fraction form
    71,034/98,030.04 = 40,829.04/x
  3. Step 3: Cross multiply
    71,034x = 98,030.04 × 40,829.04
  4. Step 4: Simplify right side
    71,034x = 4,002,472,424.36
  5. Step 5: Solve for x
    x = 4,002,472,424.36/71,034
  6. Step 6: Final answer
    x = 56,345.87

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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.