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Finding the Fourth Proportional to 87,201, 130,802.73 and 24,871.50

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Solution

The fourth proportional to 87,201, 130,802.73 and 24,871.50 is: 37,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,201 : 130,802.73 = 24,871.50 : x
  2. Step 2: Convert to fraction form
    87,201/130,802.73 = 24,871.50/x
  3. Step 3: Cross multiply
    87,201x = 130,802.73 × 24,871.50
  4. Step 4: Simplify right side
    87,201x = 3,253,260,099.20
  5. Step 5: Solve for x
    x = 3,253,260,099.20/87,201
  6. Step 6: Final answer
    x = 37,307.60

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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.