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Finding the Fourth Proportional to 24,232.38, 36,349.29 and 6,703.50

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Solution

The fourth proportional to 24,232.38, 36,349.29 and 6,703.50 is: 10,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232.38 : 36,349.29 = 6,703.50 : x
  2. Step 2: Convert to fraction form
    24,232.38/36,349.29 = 6,703.50/x
  3. Step 3: Cross multiply
    24,232.38x = 36,349.29 × 6,703.50
  4. Step 4: Simplify right side
    24,232.38x = 243,667,465.52
  5. Step 5: Solve for x
    x = 243,667,465.52/24,232.38
  6. Step 6: Final answer
    x = 10,055.45

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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.