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Finding the Fourth Proportional to 32,526.46, 48,789.68 and 9,152.90

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Solution

The fourth proportional to 32,526.46, 48,789.68 and 9,152.90 is: 13,729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,526.46 : 48,789.68 = 9,152.90 : x
  2. Step 2: Convert to fraction form
    32,526.46/48,789.68 = 9,152.90/x
  3. Step 3: Cross multiply
    32,526.46x = 48,789.68 × 9,152.90
  4. Step 4: Simplify right side
    32,526.46x = 446,566,955.32
  5. Step 5: Solve for x
    x = 446,566,955.32/32,526.46
  6. Step 6: Final answer
    x = 13,729.34

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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.