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Finding the Fourth Proportional to 20,071.60, 30,107.40 and 10,230.10

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Solution

The fourth proportional to 20,071.60, 30,107.40 and 10,230.10 is: 15,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,071.60 : 30,107.40 = 10,230.10 : x
  2. Step 2: Convert to fraction form
    20,071.60/30,107.40 = 10,230.10/x
  3. Step 3: Cross multiply
    20,071.60x = 30,107.40 × 10,230.10
  4. Step 4: Simplify right side
    20,071.60x = 308,001,712.74
  5. Step 5: Solve for x
    x = 308,001,712.74/20,071.60
  6. Step 6: Final answer
    x = 15,345.15

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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.