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Finding the Fourth Proportional to 37,402.50, 56,178.48 and 23,387.46

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Solution

The fourth proportional to 37,402.50, 56,178.48 and 23,387.46 is: 35,127.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,402.50 : 56,178.48 = 23,387.46 : x
  2. Step 2: Convert to fraction form
    37,402.50/56,178.48 = 23,387.46/x
  3. Step 3: Cross multiply
    37,402.50x = 56,178.48 × 23,387.46
  4. Step 4: Simplify right side
    37,402.50x = 1,313,871,953.86
  5. Step 5: Solve for x
    x = 1,313,871,953.86/37,402.50
  6. Step 6: Final answer
    x = 35,127.92

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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.