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Finding the Fourth Proportional to 106,719.58, 160,108.80 and 31,842.24

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Solution

The fourth proportional to 106,719.58, 160,108.80 and 31,842.24 is: 47,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,719.58 : 160,108.80 = 31,842.24 : x
  2. Step 2: Convert to fraction form
    106,719.58/160,108.80 = 31,842.24/x
  3. Step 3: Cross multiply
    106,719.58x = 160,108.80 × 31,842.24
  4. Step 4: Simplify right side
    106,719.58x = 5,098,222,835.71
  5. Step 5: Solve for x
    x = 5,098,222,835.71/106,719.58
  6. Step 6: Final answer
    x = 47,772.14

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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.