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Finding the Fourth Proportional to 31,010.10, 42,814.02 and 19,541.55

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Solution

The fourth proportional to 31,010.10, 42,814.02 and 19,541.55 is: 26,979.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,010.10 : 42,814.02 = 19,541.55 : x
  2. Step 2: Convert to fraction form
    31,010.10/42,814.02 = 19,541.55/x
  3. Step 3: Cross multiply
    31,010.10x = 42,814.02 × 19,541.55
  4. Step 4: Simplify right side
    31,010.10x = 836,652,312.53
  5. Step 5: Solve for x
    x = 836,652,312.53/31,010.10
  6. Step 6: Final answer
    x = 26,979.99

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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.