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Finding the Fourth Proportional to 102,385.80, 153,594.90 and 35,824.32

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Solution

The fourth proportional to 102,385.80, 153,594.90 and 35,824.32 is: 53,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,385.80 : 153,594.90 = 35,824.32 : x
  2. Step 2: Convert to fraction form
    102,385.80/153,594.90 = 35,824.32/x
  3. Step 3: Cross multiply
    102,385.80x = 153,594.90 × 35,824.32
  4. Step 4: Simplify right side
    102,385.80x = 5,502,432,847.97
  5. Step 5: Solve for x
    x = 5,502,432,847.97/102,385.80
  6. Step 6: Final answer
    x = 53,742.15

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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.