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Finding the Fourth Proportional to 82,622.84, 114,019.53 and 44,897

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Solution

The fourth proportional to 82,622.84, 114,019.53 and 44,897 is: 61,957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,622.84 : 114,019.53 = 44,897 : x
  2. Step 2: Convert to fraction form
    82,622.84/114,019.53 = 44,897/x
  3. Step 3: Cross multiply
    82,622.84x = 114,019.53 × 44,897
  4. Step 4: Simplify right side
    82,622.84x = 5,119,134,838.41
  5. Step 5: Solve for x
    x = 5,119,134,838.41/82,622.84
  6. Step 6: Final answer
    x = 61,957.87

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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.