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Finding the Fourth Proportional to 58,123.04, 80,247.12 and 35,780

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Solution

The fourth proportional to 58,123.04, 80,247.12 and 35,780 is: 49,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,123.04 : 80,247.12 = 35,780 : x
  2. Step 2: Convert to fraction form
    58,123.04/80,247.12 = 35,780/x
  3. Step 3: Cross multiply
    58,123.04x = 80,247.12 × 35,780
  4. Step 4: Simplify right side
    58,123.04x = 2,871,241,953.60
  5. Step 5: Solve for x
    x = 2,871,241,953.60/58,123.04
  6. Step 6: Final answer
    x = 49,399.38

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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.