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Finding the Fourth Proportional to 75,058.40, 112,571.40 and 32,938.40

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Solution

The fourth proportional to 75,058.40, 112,571.40 and 32,938.40 is: 49,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,058.40 : 112,571.40 = 32,938.40 : x
  2. Step 2: Convert to fraction form
    75,058.40/112,571.40 = 32,938.40/x
  3. Step 3: Cross multiply
    75,058.40x = 112,571.40 × 32,938.40
  4. Step 4: Simplify right side
    75,058.40x = 3,707,921,801.76
  5. Step 5: Solve for x
    x = 3,707,921,801.76/75,058.40
  6. Step 6: Final answer
    x = 49,400.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.