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Finding the Fourth Proportional to 100,075.57, 150,123.80 and 32,612.86

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Solution

The fourth proportional to 100,075.57, 150,123.80 and 32,612.86 is: 48,922.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,075.57 : 150,123.80 = 32,612.86 : x
  2. Step 2: Convert to fraction form
    100,075.57/150,123.80 = 32,612.86/x
  3. Step 3: Cross multiply
    100,075.57x = 150,123.80 × 32,612.86
  4. Step 4: Simplify right side
    100,075.57x = 4,895,966,472.07
  5. Step 5: Solve for x
    x = 4,895,966,472.07/100,075.57
  6. Step 6: Final answer
    x = 48,922.69

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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.