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Finding the Fourth Proportional to 23,068.80, 31,798.08 and 22,032

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Solution

The fourth proportional to 23,068.80, 31,798.08 and 22,032 is: 30,368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,068.80 : 31,798.08 = 22,032 : x
  2. Step 2: Convert to fraction form
    23,068.80/31,798.08 = 22,032/x
  3. Step 3: Cross multiply
    23,068.80x = 31,798.08 × 22,032
  4. Step 4: Simplify right side
    23,068.80x = 700,575,298.56
  5. Step 5: Solve for x
    x = 700,575,298.56/23,068.80
  6. Step 6: Final answer
    x = 30,368.95

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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.