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Finding the Fourth Proportional to 101,480.31, 152,217.32 and 48,210.63

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Solution

The fourth proportional to 101,480.31, 152,217.32 and 48,210.63 is: 72,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,480.31 : 152,217.32 = 48,210.63 : x
  2. Step 2: Convert to fraction form
    101,480.31/152,217.32 = 48,210.63/x
  3. Step 3: Cross multiply
    101,480.31x = 152,217.32 × 48,210.63
  4. Step 4: Simplify right side
    101,480.31x = 7,338,492,082.24
  5. Step 5: Solve for x
    x = 7,338,492,082.24/101,480.31
  6. Step 6: Final answer
    x = 72,314.44

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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.