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Finding the Fourth Proportional to 106,597.77, 159,868.80 and 31,697.76

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Solution

The fourth proportional to 106,597.77, 159,868.80 and 31,697.76 is: 47,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,597.77 : 159,868.80 = 31,697.76 : x
  2. Step 2: Convert to fraction form
    106,597.77/159,868.80 = 31,697.76/x
  3. Step 3: Cross multiply
    106,597.77x = 159,868.80 × 31,697.76
  4. Step 4: Simplify right side
    106,597.77x = 5,067,482,853.89
  5. Step 5: Solve for x
    x = 5,067,482,853.89/106,597.77
  6. Step 6: Final answer
    x = 47,538.36

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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.