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Finding the Fourth Proportional to 24,343.84, 36,302.16 and 24,122.16

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Solution

The fourth proportional to 24,343.84, 36,302.16 and 24,122.16 is: 35,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,343.84 : 36,302.16 = 24,122.16 : x
  2. Step 2: Convert to fraction form
    24,343.84/36,302.16 = 24,122.16/x
  3. Step 3: Cross multiply
    24,343.84x = 36,302.16 × 24,122.16
  4. Step 4: Simplify right side
    24,343.84x = 875,686,511.87
  5. Step 5: Solve for x
    x = 875,686,511.87/24,343.84
  6. Step 6: Final answer
    x = 35,971.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.