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Finding the Fourth Proportional to 51,690.94, 71,328.16 and 29,032.40

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Solution

The fourth proportional to 51,690.94, 71,328.16 and 29,032.40 is: 40,061.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,690.94 : 71,328.16 = 29,032.40 : x
  2. Step 2: Convert to fraction form
    51,690.94/71,328.16 = 29,032.40/x
  3. Step 3: Cross multiply
    51,690.94x = 71,328.16 × 29,032.40
  4. Step 4: Simplify right side
    51,690.94x = 2,070,827,672.38
  5. Step 5: Solve for x
    x = 2,070,827,672.38/51,690.94
  6. Step 6: Final answer
    x = 40,061.71

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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.