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Finding the Fourth Proportional to 24,075, 36,119.70 and 10,225.08

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Solution

The fourth proportional to 24,075, 36,119.70 and 10,225.08 is: 15,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,075 : 36,119.70 = 10,225.08 : x
  2. Step 2: Convert to fraction form
    24,075/36,119.70 = 10,225.08/x
  3. Step 3: Cross multiply
    24,075x = 36,119.70 × 10,225.08
  4. Step 4: Simplify right side
    24,075x = 369,326,822.08
  5. Step 5: Solve for x
    x = 369,326,822.08/24,075
  6. Step 6: Final answer
    x = 15,340.68

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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.