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Finding the Fourth Proportional to 71,077.50, 106,617.06 and 24,334.02

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Solution

The fourth proportional to 71,077.50, 106,617.06 and 24,334.02 is: 36,501.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,077.50 : 106,617.06 = 24,334.02 : x
  2. Step 2: Convert to fraction form
    71,077.50/106,617.06 = 24,334.02/x
  3. Step 3: Cross multiply
    71,077.50x = 106,617.06 × 24,334.02
  4. Step 4: Simplify right side
    71,077.50x = 2,594,421,670.38
  5. Step 5: Solve for x
    x = 2,594,421,670.38/71,077.50
  6. Step 6: Final answer
    x = 36,501.31

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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.