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Finding the Fourth Proportional to 24,047.79, 36,075.10 and 7,409.17

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Solution

The fourth proportional to 24,047.79, 36,075.10 and 7,409.17 is: 11,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,047.79 : 36,075.10 = 7,409.17 : x
  2. Step 2: Convert to fraction form
    24,047.79/36,075.10 = 7,409.17/x
  3. Step 3: Cross multiply
    24,047.79x = 36,075.10 × 7,409.17
  4. Step 4: Simplify right side
    24,047.79x = 267,286,548.67
  5. Step 5: Solve for x
    x = 267,286,548.67/24,047.79
  6. Step 6: Final answer
    x = 11,114.81

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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.