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Finding the Fourth Proportional to 77,398.80, 106,809.16 and 43,407.28

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Solution

The fourth proportional to 77,398.80, 106,809.16 and 43,407.28 is: 59,901.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,398.80 : 106,809.16 = 43,407.28 : x
  2. Step 2: Convert to fraction form
    77,398.80/106,809.16 = 43,407.28/x
  3. Step 3: Cross multiply
    77,398.80x = 106,809.16 × 43,407.28
  4. Step 4: Simplify right side
    77,398.80x = 4,636,295,114.68
  5. Step 5: Solve for x
    x = 4,636,295,114.68/77,398.80
  6. Step 6: Final answer
    x = 59,901.38

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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.