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Finding the Fourth Proportional to 78,292.16, 108,041.28 and 44,756

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Solution

The fourth proportional to 78,292.16, 108,041.28 and 44,756 is: 61,762.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,292.16 : 108,041.28 = 44,756 : x
  2. Step 2: Convert to fraction form
    78,292.16/108,041.28 = 44,756/x
  3. Step 3: Cross multiply
    78,292.16x = 108,041.28 × 44,756
  4. Step 4: Simplify right side
    78,292.16x = 4,835,495,527.68
  5. Step 5: Solve for x
    x = 4,835,495,527.68/78,292.16
  6. Step 6: Final answer
    x = 61,762.19

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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.