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Finding the Fourth Proportional to 70,503.60, 105,870.60 and 47,233.20

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Solution

The fourth proportional to 70,503.60, 105,870.60 and 47,233.20 is: 70,926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,503.60 : 105,870.60 = 47,233.20 : x
  2. Step 2: Convert to fraction form
    70,503.60/105,870.60 = 47,233.20/x
  3. Step 3: Cross multiply
    70,503.60x = 105,870.60 × 47,233.20
  4. Step 4: Simplify right side
    70,503.60x = 5,000,607,223.92
  5. Step 5: Solve for x
    x = 5,000,607,223.92/70,503.60
  6. Step 6: Final answer
    x = 70,926.98

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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.