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Finding the Fourth Proportional to 30,587.68, 45,842.84 and 17,447.48

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Solution

The fourth proportional to 30,587.68, 45,842.84 and 17,447.48 is: 26,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,587.68 : 45,842.84 = 17,447.48 : x
  2. Step 2: Convert to fraction form
    30,587.68/45,842.84 = 17,447.48/x
  3. Step 3: Cross multiply
    30,587.68x = 45,842.84 × 17,447.48
  4. Step 4: Simplify right side
    30,587.68x = 799,842,034.04
  5. Step 5: Solve for x
    x = 799,842,034.04/30,587.68
  6. Step 6: Final answer
    x = 26,149.16

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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.