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Finding the Fourth Proportional to 30,675.24, 42,332.76 and 19,922.76

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Solution

The fourth proportional to 30,675.24, 42,332.76 and 19,922.76 is: 27,494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,675.24 : 42,332.76 = 19,922.76 : x
  2. Step 2: Convert to fraction form
    30,675.24/42,332.76 = 19,922.76/x
  3. Step 3: Cross multiply
    30,675.24x = 42,332.76 × 19,922.76
  4. Step 4: Simplify right side
    30,675.24x = 843,385,417.62
  5. Step 5: Solve for x
    x = 843,385,417.62/30,675.24
  6. Step 6: Final answer
    x = 27,494.01

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