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Finding the Fourth Proportional to 29,586.24, 40,820 and 17,810.24

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Solution

The fourth proportional to 29,586.24, 40,820 and 17,810.24 is: 24,572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,586.24 : 40,820 = 17,810.24 : x
  2. Step 2: Convert to fraction form
    29,586.24/40,820 = 17,810.24/x
  3. Step 3: Cross multiply
    29,586.24x = 40,820 × 17,810.24
  4. Step 4: Simplify right side
    29,586.24x = 727,013,996.80
  5. Step 5: Solve for x
    x = 727,013,996.80/29,586.24
  6. Step 6: Final answer
    x = 24,572.71

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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.