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Finding the Fourth Proportional to 29,657.50, 40,934.64 and 17,089.54

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Solution

The fourth proportional to 29,657.50, 40,934.64 and 17,089.54 is: 23,587.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,657.50 : 40,934.64 = 17,089.54 : x
  2. Step 2: Convert to fraction form
    29,657.50/40,934.64 = 17,089.54/x
  3. Step 3: Cross multiply
    29,657.50x = 40,934.64 × 17,089.54
  4. Step 4: Simplify right side
    29,657.50x = 699,554,167.67
  5. Step 5: Solve for x
    x = 699,554,167.67/29,657.50
  6. Step 6: Final answer
    x = 23,587.77

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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.