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Finding the Fourth Proportional to 106,294.80, 159,404.40 and 47,024.40

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Solution

The fourth proportional to 106,294.80, 159,404.40 and 47,024.40 is: 70,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,294.80 : 159,404.40 = 47,024.40 : x
  2. Step 2: Convert to fraction form
    106,294.80/159,404.40 = 47,024.40/x
  3. Step 3: Cross multiply
    106,294.80x = 159,404.40 × 47,024.40
  4. Step 4: Simplify right side
    106,294.80x = 7,495,896,267.36
  5. Step 5: Solve for x
    x = 7,495,896,267.36/106,294.80
  6. Step 6: Final answer
    x = 70,519.88

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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.