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Finding the Fourth Proportional to 30,860.64, 42,572.16 and 20,248.80

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Solution

The fourth proportional to 30,860.64, 42,572.16 and 20,248.80 is: 27,933.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,860.64 : 42,572.16 = 20,248.80 : x
  2. Step 2: Convert to fraction form
    30,860.64/42,572.16 = 20,248.80/x
  3. Step 3: Cross multiply
    30,860.64x = 42,572.16 × 20,248.80
  4. Step 4: Simplify right side
    30,860.64x = 862,035,153.41
  5. Step 5: Solve for x
    x = 862,035,153.41/30,860.64
  6. Step 6: Final answer
    x = 27,933.16

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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.