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Finding the Fourth Proportional to 78,869.76, 108,852.77 and 50,159.49

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Solution

The fourth proportional to 78,869.76, 108,852.77 and 50,159.49 is: 69,228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,869.76 : 108,852.77 = 50,159.49 : x
  2. Step 2: Convert to fraction form
    78,869.76/108,852.77 = 50,159.49/x
  3. Step 3: Cross multiply
    78,869.76x = 108,852.77 × 50,159.49
  4. Step 4: Simplify right side
    78,869.76x = 5,459,999,428.29
  5. Step 5: Solve for x
    x = 5,459,999,428.29/78,869.76
  6. Step 6: Final answer
    x = 69,228.05

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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.