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Finding the Fourth Proportional to 29,507.64, 40,700.30 and 17,561.76

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Solution

The fourth proportional to 29,507.64, 40,700.30 and 17,561.76 is: 24,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,507.64 : 40,700.30 = 17,561.76 : x
  2. Step 2: Convert to fraction form
    29,507.64/40,700.30 = 17,561.76/x
  3. Step 3: Cross multiply
    29,507.64x = 40,700.30 × 17,561.76
  4. Step 4: Simplify right side
    29,507.64x = 714,768,900.53
  5. Step 5: Solve for x
    x = 714,768,900.53/29,507.64
  6. Step 6: Final answer
    x = 24,223.18

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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.