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Finding the Fourth Proportional to 30,587.70, 45,842.85 and 17,447.46

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Solution

The fourth proportional to 30,587.70, 45,842.85 and 17,447.46 is: 26,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,587.70 : 45,842.85 = 17,447.46 : x
  2. Step 2: Convert to fraction form
    30,587.70/45,842.85 = 17,447.46/x
  3. Step 3: Cross multiply
    30,587.70x = 45,842.85 × 17,447.46
  4. Step 4: Simplify right side
    30,587.70x = 799,841,291.66
  5. Step 5: Solve for x
    x = 799,841,291.66/30,587.70
  6. Step 6: Final answer
    x = 26,149.12

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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.