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Finding the Fourth Proportional to 70,877.80, 106,331.10 and 24,135.40

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Solution

The fourth proportional to 70,877.80, 106,331.10 and 24,135.40 is: 36,208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,877.80 : 106,331.10 = 24,135.40 : x
  2. Step 2: Convert to fraction form
    70,877.80/106,331.10 = 24,135.40/x
  3. Step 3: Cross multiply
    70,877.80x = 106,331.10 × 24,135.40
  4. Step 4: Simplify right side
    70,877.80x = 2,566,343,630.94
  5. Step 5: Solve for x
    x = 2,566,343,630.94/70,877.80
  6. Step 6: Final answer
    x = 36,208.00

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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.