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Finding the Fourth Proportional to 104,809.40, 157,214.10 and 34,695.80

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Solution

The fourth proportional to 104,809.40, 157,214.10 and 34,695.80 is: 52,043.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,809.40 : 157,214.10 = 34,695.80 : x
  2. Step 2: Convert to fraction form
    104,809.40/157,214.10 = 34,695.80/x
  3. Step 3: Cross multiply
    104,809.40x = 157,214.10 × 34,695.80
  4. Step 4: Simplify right side
    104,809.40x = 5,454,668,970.78
  5. Step 5: Solve for x
    x = 5,454,668,970.78/104,809.40
  6. Step 6: Final answer
    x = 52,043.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.