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Finding the Fourth Proportional to 70,988.40, 106,392.15 and 37,724.40

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Solution

The fourth proportional to 70,988.40, 106,392.15 and 37,724.40 is: 56,538.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,988.40 : 106,392.15 = 37,724.40 : x
  2. Step 2: Convert to fraction form
    70,988.40/106,392.15 = 37,724.40/x
  3. Step 3: Cross multiply
    70,988.40x = 106,392.15 × 37,724.40
  4. Step 4: Simplify right side
    70,988.40x = 4,013,580,023.46
  5. Step 5: Solve for x
    x = 4,013,580,023.46/70,988.40
  6. Step 6: Final answer
    x = 56,538.53

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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.