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Finding the Fourth Proportional to 42,544.71, 58,709.40 and 23,420.76

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Solution

The fourth proportional to 42,544.71, 58,709.40 and 23,420.76 is: 32,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,544.71 : 58,709.40 = 23,420.76 : x
  2. Step 2: Convert to fraction form
    42,544.71/58,709.40 = 23,420.76/x
  3. Step 3: Cross multiply
    42,544.71x = 58,709.40 × 23,420.76
  4. Step 4: Simplify right side
    42,544.71x = 1,375,018,767.14
  5. Step 5: Solve for x
    x = 1,375,018,767.14/42,544.71
  6. Step 6: Final answer
    x = 32,319.38

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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.