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Finding the Fourth Proportional to 30,890.16, 42,646.80 and 20,298.24

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Solution

The fourth proportional to 30,890.16, 42,646.80 and 20,298.24 is: 28,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,890.16 : 42,646.80 = 20,298.24 : x
  2. Step 2: Convert to fraction form
    30,890.16/42,646.80 = 20,298.24/x
  3. Step 3: Cross multiply
    30,890.16x = 42,646.80 × 20,298.24
  4. Step 4: Simplify right side
    30,890.16x = 865,654,981.63
  5. Step 5: Solve for x
    x = 865,654,981.63/30,890.16
  6. Step 6: Final answer
    x = 28,023.65

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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.