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Finding the Fourth Proportional to 31,977.59, 44,130.02 and 17,830.13

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Solution

The fourth proportional to 31,977.59, 44,130.02 and 17,830.13 is: 24,606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,977.59 : 44,130.02 = 17,830.13 : x
  2. Step 2: Convert to fraction form
    31,977.59/44,130.02 = 17,830.13/x
  3. Step 3: Cross multiply
    31,977.59x = 44,130.02 × 17,830.13
  4. Step 4: Simplify right side
    31,977.59x = 786,843,683.70
  5. Step 5: Solve for x
    x = 786,843,683.70/31,977.59
  6. Step 6: Final answer
    x = 24,606.10

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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.