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Finding the Fourth Proportional to 82,325.70, 113,609.43 and 44,599.95

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Solution

The fourth proportional to 82,325.70, 113,609.43 and 44,599.95 is: 61,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,325.70 : 113,609.43 = 44,599.95 : x
  2. Step 2: Convert to fraction form
    82,325.70/113,609.43 = 44,599.95/x
  3. Step 3: Cross multiply
    82,325.70x = 113,609.43 × 44,599.95
  4. Step 4: Simplify right side
    82,325.70x = 5,066,974,897.53
  5. Step 5: Solve for x
    x = 5,066,974,897.53/82,325.70
  6. Step 6: Final answer
    x = 61,547.91

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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.