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Finding the Fourth Proportional to 106,882.40, 160,294.80 and 32,002.40

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Solution

The fourth proportional to 106,882.40, 160,294.80 and 32,002.40 is: 47,994.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,882.40 : 160,294.80 = 32,002.40 : x
  2. Step 2: Convert to fraction form
    106,882.40/160,294.80 = 32,002.40/x
  3. Step 3: Cross multiply
    106,882.40x = 160,294.80 × 32,002.40
  4. Step 4: Simplify right side
    106,882.40x = 5,129,818,307.52
  5. Step 5: Solve for x
    x = 5,129,818,307.52/106,882.40
  6. Step 6: Final answer
    x = 47,994.98

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1.5x scale

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.