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Finding the Fourth Proportional to 32,097.80, 48,128.18 and 9,905.24

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Solution

The fourth proportional to 32,097.80, 48,128.18 and 9,905.24 is: 14,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.80 : 48,128.18 = 9,905.24 : x
  2. Step 2: Convert to fraction form
    32,097.80/48,128.18 = 9,905.24/x
  3. Step 3: Cross multiply
    32,097.80x = 48,128.18 × 9,905.24
  4. Step 4: Simplify right side
    32,097.80x = 476,720,883.50
  5. Step 5: Solve for x
    x = 476,720,883.50/32,097.80
  6. Step 6: Final answer
    x = 14,852.14

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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.