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Finding the Fourth Proportional to 30,925.50, 42,677.19 and 17,496.48

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Solution

The fourth proportional to 30,925.50, 42,677.19 and 17,496.48 is: 24,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,925.50 : 42,677.19 = 17,496.48 : x
  2. Step 2: Convert to fraction form
    30,925.50/42,677.19 = 17,496.48/x
  3. Step 3: Cross multiply
    30,925.50x = 42,677.19 × 17,496.48
  4. Step 4: Simplify right side
    30,925.50x = 746,700,601.29
  5. Step 5: Solve for x
    x = 746,700,601.29/30,925.50
  6. Step 6: Final answer
    x = 24,145.14

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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.