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Finding the Fourth Proportional to 34,156.32, 51,242.40 and 13,380

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Solution

The fourth proportional to 34,156.32, 51,242.40 and 13,380 is: 20,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,156.32 : 51,242.40 = 13,380 : x
  2. Step 2: Convert to fraction form
    34,156.32/51,242.40 = 13,380/x
  3. Step 3: Cross multiply
    34,156.32x = 51,242.40 × 13,380
  4. Step 4: Simplify right side
    34,156.32x = 685,623,312
  5. Step 5: Solve for x
    x = 685,623,312/34,156.32
  6. Step 6: Final answer
    x = 20,073.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.