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Finding the Fourth Proportional to 82,655.05, 114,064.05 and 44,929.30

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Solution

The fourth proportional to 82,655.05, 114,064.05 and 44,929.30 is: 62,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,655.05 : 114,064.05 = 44,929.30 : x
  2. Step 2: Convert to fraction form
    82,655.05/114,064.05 = 44,929.30/x
  3. Step 3: Cross multiply
    82,655.05x = 114,064.05 × 44,929.30
  4. Step 4: Simplify right side
    82,655.05x = 5,124,817,697.02
  5. Step 5: Solve for x
    x = 5,124,817,697.02/82,655.05
  6. Step 6: Final answer
    x = 62,002.48

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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.