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Finding the Fourth Proportional to 106,456.98, 159,686.28 and 47,276.76

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Solution

The fourth proportional to 106,456.98, 159,686.28 and 47,276.76 is: 70,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,456.98 : 159,686.28 = 47,276.76 : x
  2. Step 2: Convert to fraction form
    106,456.98/159,686.28 = 47,276.76/x
  3. Step 3: Cross multiply
    106,456.98x = 159,686.28 × 47,276.76
  4. Step 4: Simplify right side
    106,456.98x = 7,549,449,934.85
  5. Step 5: Solve for x
    x = 7,549,449,934.85/106,456.98
  6. Step 6: Final answer
    x = 70,915.50

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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.