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Finding the Fourth Proportional to 101,478.94, 152,215.25 and 48,209.25

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Solution

The fourth proportional to 101,478.94, 152,215.25 and 48,209.25 is: 72,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,478.94 : 152,215.25 = 48,209.25 : x
  2. Step 2: Convert to fraction form
    101,478.94/152,215.25 = 48,209.25/x
  3. Step 3: Cross multiply
    101,478.94x = 152,215.25 × 48,209.25
  4. Step 4: Simplify right side
    101,478.94x = 7,338,183,041.06
  5. Step 5: Solve for x
    x = 7,338,183,041.06/101,478.94
  6. Step 6: Final answer
    x = 72,312.38

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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.