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Finding the Fourth Proportional to 86,706.41, 129,732.57 and 51,187.05

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Solution

The fourth proportional to 86,706.41, 129,732.57 and 51,187.05 is: 76,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,706.41 : 129,732.57 = 51,187.05 : x
  2. Step 2: Convert to fraction form
    86,706.41/129,732.57 = 51,187.05/x
  3. Step 3: Cross multiply
    86,706.41x = 129,732.57 × 51,187.05
  4. Step 4: Simplify right side
    86,706.41x = 6,640,627,547.22
  5. Step 5: Solve for x
    x = 6,640,627,547.22/86,706.41
  6. Step 6: Final answer
    x = 76,587.50

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Why These Related Problems?

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