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Finding the Fourth Proportional to 32,075, 44,264.30 and 17,930.20

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Solution

The fourth proportional to 32,075, 44,264.30 and 17,930.20 is: 24,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,075 : 44,264.30 = 17,930.20 : x
  2. Step 2: Convert to fraction form
    32,075/44,264.30 = 17,930.20/x
  3. Step 3: Cross multiply
    32,075x = 44,264.30 × 17,930.20
  4. Step 4: Simplify right side
    32,075x = 793,667,751.86
  5. Step 5: Solve for x
    x = 793,667,751.86/32,075
  6. Step 6: Final answer
    x = 24,744.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.