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Finding the Fourth Proportional to 28,658.82, 42,948.19 and 24,419.93

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Solution

The fourth proportional to 28,658.82, 42,948.19 and 24,419.93 is: 36,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,658.82 : 42,948.19 = 24,419.93 : x
  2. Step 2: Convert to fraction form
    28,658.82/42,948.19 = 24,419.93/x
  3. Step 3: Cross multiply
    28,658.82x = 42,948.19 × 24,419.93
  4. Step 4: Simplify right side
    28,658.82x = 1,048,791,671.33
  5. Step 5: Solve for x
    x = 1,048,791,671.33/28,658.82
  6. Step 6: Final answer
    x = 36,595.77

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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.