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Finding the Fourth Proportional to 102,604.40, 153,904.92 and 32,483.60

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Solution

The fourth proportional to 102,604.40, 153,904.92 and 32,483.60 is: 48,724.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,604.40 : 153,904.92 = 32,483.60 : x
  2. Step 2: Convert to fraction form
    102,604.40/153,904.92 = 32,483.60/x
  3. Step 3: Cross multiply
    102,604.40x = 153,904.92 × 32,483.60
  4. Step 4: Simplify right side
    102,604.40x = 4,999,385,859.31
  5. Step 5: Solve for x
    x = 4,999,385,859.31/102,604.40
  6. Step 6: Final answer
    x = 48,724.87

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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.