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Finding the Fourth Proportional to 94,443.77, 130,331.84 and 52,002

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Solution

The fourth proportional to 94,443.77, 130,331.84 and 52,002 is: 71,762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,443.77 : 130,331.84 = 52,002 : x
  2. Step 2: Convert to fraction form
    94,443.77/130,331.84 = 52,002/x
  3. Step 3: Cross multiply
    94,443.77x = 130,331.84 × 52,002
  4. Step 4: Simplify right side
    94,443.77x = 6,777,516,083.67
  5. Step 5: Solve for x
    x = 6,777,516,083.67/94,443.77
  6. Step 6: Final answer
    x = 71,762.45

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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.