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Finding the Fourth Proportional to 32,065.80, 48,098.70 and 21,568.20

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Solution

The fourth proportional to 32,065.80, 48,098.70 and 21,568.20 is: 32,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,065.80 : 48,098.70 = 21,568.20 : x
  2. Step 2: Convert to fraction form
    32,065.80/48,098.70 = 21,568.20/x
  3. Step 3: Cross multiply
    32,065.80x = 48,098.70 × 21,568.20
  4. Step 4: Simplify right side
    32,065.80x = 1,037,402,381.34
  5. Step 5: Solve for x
    x = 1,037,402,381.34/32,065.80
  6. Step 6: Final answer
    x = 32,352.30

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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.