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Finding the Fourth Proportional to 71,482.50, 107,223.75 and 48,970.98

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Solution

The fourth proportional to 71,482.50, 107,223.75 and 48,970.98 is: 73,456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,482.50 : 107,223.75 = 48,970.98 : x
  2. Step 2: Convert to fraction form
    71,482.50/107,223.75 = 48,970.98/x
  3. Step 3: Cross multiply
    71,482.50x = 107,223.75 × 48,970.98
  4. Step 4: Simplify right side
    71,482.50x = 5,250,852,116.78
  5. Step 5: Solve for x
    x = 5,250,852,116.78/71,482.50
  6. Step 6: Final answer
    x = 73,456.47

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1.5x scale

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.