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Finding the Fourth Proportional to 30,642.98, 42,292.23 and 28,641.87

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Solution

The fourth proportional to 30,642.98, 42,292.23 and 28,641.87 is: 39,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.98 : 42,292.23 = 28,641.87 : x
  2. Step 2: Convert to fraction form
    30,642.98/42,292.23 = 28,641.87/x
  3. Step 3: Cross multiply
    30,642.98x = 42,292.23 × 28,641.87
  4. Step 4: Simplify right side
    30,642.98x = 1,211,328,446.26
  5. Step 5: Solve for x
    x = 1,211,328,446.26/30,642.98
  6. Step 6: Final answer
    x = 39,530.38

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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.