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Finding the Fourth Proportional to 30,105.60, 45,171.90 and 10,398.30

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Solution

The fourth proportional to 30,105.60, 45,171.90 and 10,398.30 is: 15,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,105.60 : 45,171.90 = 10,398.30 : x
  2. Step 2: Convert to fraction form
    30,105.60/45,171.90 = 10,398.30/x
  3. Step 3: Cross multiply
    30,105.60x = 45,171.90 × 10,398.30
  4. Step 4: Simplify right side
    30,105.60x = 469,710,967.77
  5. Step 5: Solve for x
    x = 469,710,967.77/30,105.60
  6. Step 6: Final answer
    x = 15,602.11

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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.