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Finding the Fourth Proportional to 78,416.38, 108,214.86 and 44,431.17

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Solution

The fourth proportional to 78,416.38, 108,214.86 and 44,431.17 is: 61,315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,416.38 : 108,214.86 = 44,431.17 : x
  2. Step 2: Convert to fraction form
    78,416.38/108,214.86 = 44,431.17/x
  3. Step 3: Cross multiply
    78,416.38x = 108,214.86 × 44,431.17
  4. Step 4: Simplify right side
    78,416.38x = 4,808,112,841.19
  5. Step 5: Solve for x
    x = 4,808,112,841.19/78,416.38
  6. Step 6: Final answer
    x = 61,315.16

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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.