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Finding the Fourth Proportional to 32,758.08, 45,206.24 and 17,854.08

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Solution

The fourth proportional to 32,758.08, 45,206.24 and 17,854.08 is: 24,638.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,758.08 : 45,206.24 = 17,854.08 : x
  2. Step 2: Convert to fraction form
    32,758.08/45,206.24 = 17,854.08/x
  3. Step 3: Cross multiply
    32,758.08x = 45,206.24 × 17,854.08
  4. Step 4: Simplify right side
    32,758.08x = 807,115,825.46
  5. Step 5: Solve for x
    x = 807,115,825.46/32,758.08
  6. Step 6: Final answer
    x = 24,638.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.