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Finding the Fourth Proportional to 30,658.95, 42,324.66 and 20,064.77

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Solution

The fourth proportional to 30,658.95, 42,324.66 and 20,064.77 is: 27,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658.95 : 42,324.66 = 20,064.77 : x
  2. Step 2: Convert to fraction form
    30,658.95/42,324.66 = 20,064.77/x
  3. Step 3: Cross multiply
    30,658.95x = 42,324.66 × 20,064.77
  4. Step 4: Simplify right side
    30,658.95x = 849,234,356.60
  5. Step 5: Solve for x
    x = 849,234,356.60/30,658.95
  6. Step 6: Final answer
    x = 27,699.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.