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Finding the Fourth Proportional to 29,645.42, 40,903.80 and 17,706.38

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Solution

The fourth proportional to 29,645.42, 40,903.80 and 17,706.38 is: 24,430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,645.42 : 40,903.80 = 17,706.38 : x
  2. Step 2: Convert to fraction form
    29,645.42/40,903.80 = 17,706.38/x
  3. Step 3: Cross multiply
    29,645.42x = 40,903.80 × 17,706.38
  4. Step 4: Simplify right side
    29,645.42x = 724,258,226.24
  5. Step 5: Solve for x
    x = 724,258,226.24/29,645.42
  6. Step 6: Final answer
    x = 24,430.70

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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.