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Finding the Fourth Proportional to 42,009.76, 57,938.16 and 25,239.52

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Solution

The fourth proportional to 42,009.76, 57,938.16 and 25,239.52 is: 34,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,009.76 : 57,938.16 = 25,239.52 : x
  2. Step 2: Convert to fraction form
    42,009.76/57,938.16 = 25,239.52/x
  3. Step 3: Cross multiply
    42,009.76x = 57,938.16 × 25,239.52
  4. Step 4: Simplify right side
    42,009.76x = 1,462,331,348.08
  5. Step 5: Solve for x
    x = 1,462,331,348.08/42,009.76
  6. Step 6: Final answer
    x = 34,809.32

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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.