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Finding the Fourth Proportional to 32,107.60, 48,139.80 and 14,568.40

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Solution

The fourth proportional to 32,107.60, 48,139.80 and 14,568.40 is: 21,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,107.60 : 48,139.80 = 14,568.40 : x
  2. Step 2: Convert to fraction form
    32,107.60/48,139.80 = 14,568.40/x
  3. Step 3: Cross multiply
    32,107.60x = 48,139.80 × 14,568.40
  4. Step 4: Simplify right side
    32,107.60x = 701,319,862.32
  5. Step 5: Solve for x
    x = 701,319,862.32/32,107.60
  6. Step 6: Final answer
    x = 21,842.80

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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.