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Finding the Fourth Proportional to 32,114.60, 48,164.70 and 21,098.60

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Solution

The fourth proportional to 32,114.60, 48,164.70 and 21,098.60 is: 31,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.60 : 48,164.70 = 21,098.60 : x
  2. Step 2: Convert to fraction form
    32,114.60/48,164.70 = 21,098.60/x
  3. Step 3: Cross multiply
    32,114.60x = 48,164.70 × 21,098.60
  4. Step 4: Simplify right side
    32,114.60x = 1,016,207,739.42
  5. Step 5: Solve for x
    x = 1,016,207,739.42/32,114.60
  6. Step 6: Final answer
    x = 31,643.17

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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.