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Finding the Fourth Proportional to 29,965.50, 44,948.26 and 8,077.50

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Solution

The fourth proportional to 29,965.50, 44,948.26 and 8,077.50 is: 12,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,965.50 : 44,948.26 = 8,077.50 : x
  2. Step 2: Convert to fraction form
    29,965.50/44,948.26 = 8,077.50/x
  3. Step 3: Cross multiply
    29,965.50x = 44,948.26 × 8,077.50
  4. Step 4: Simplify right side
    29,965.50x = 363,069,570.15
  5. Step 5: Solve for x
    x = 363,069,570.15/29,965.50
  6. Step 6: Final answer
    x = 12,116.25

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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.