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Finding the Fourth Proportional to 101,615.64, 152,438.30 and 48,981.84

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Solution

The fourth proportional to 101,615.64, 152,438.30 and 48,981.84 is: 73,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,615.64 : 152,438.30 = 48,981.84 : x
  2. Step 2: Convert to fraction form
    101,615.64/152,438.30 = 48,981.84/x
  3. Step 3: Cross multiply
    101,615.64x = 152,438.30 × 48,981.84
  4. Step 4: Simplify right side
    101,615.64x = 7,466,708,420.47
  5. Step 5: Solve for x
    x = 7,466,708,420.47/101,615.64
  6. Step 6: Final answer
    x = 73,479.91

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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.