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Finding the Fourth Proportional to 34,142.80, 51,210.36 and 13,360.72

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Solution

The fourth proportional to 34,142.80, 51,210.36 and 13,360.72 is: 20,039.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,142.80 : 51,210.36 = 13,360.72 : x
  2. Step 2: Convert to fraction form
    34,142.80/51,210.36 = 13,360.72/x
  3. Step 3: Cross multiply
    34,142.80x = 51,210.36 × 13,360.72
  4. Step 4: Simplify right side
    34,142.80x = 684,207,281.06
  5. Step 5: Solve for x
    x = 684,207,281.06/34,142.80
  6. Step 6: Final answer
    x = 20,039.58

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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.