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Finding the Fourth Proportional to 42,857.85, 59,138.79 and 24,708.38

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Solution

The fourth proportional to 42,857.85, 59,138.79 and 24,708.38 is: 34,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,857.85 : 59,138.79 = 24,708.38 : x
  2. Step 2: Convert to fraction form
    42,857.85/59,138.79 = 24,708.38/x
  3. Step 3: Cross multiply
    42,857.85x = 59,138.79 × 24,708.38
  4. Step 4: Simplify right side
    42,857.85x = 1,461,223,307.71
  5. Step 5: Solve for x
    x = 1,461,223,307.71/42,857.85
  6. Step 6: Final answer
    x = 34,094.64

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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.