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Finding the Fourth Proportional to 82,658.89, 114,070.40 and 44,933.95

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Solution

The fourth proportional to 82,658.89, 114,070.40 and 44,933.95 is: 62,009.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,658.89 : 114,070.40 = 44,933.95 : x
  2. Step 2: Convert to fraction form
    82,658.89/114,070.40 = 44,933.95/x
  3. Step 3: Cross multiply
    82,658.89x = 114,070.40 × 44,933.95
  4. Step 4: Simplify right side
    82,658.89x = 5,125,633,477.24
  5. Step 5: Solve for x
    x = 5,125,633,477.24/82,658.89
  6. Step 6: Final answer
    x = 62,009.47

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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.