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Finding the Fourth Proportional to 86,836.50, 130,254.75 and 24,507

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Solution

The fourth proportional to 86,836.50, 130,254.75 and 24,507 is: 36,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,836.50 : 130,254.75 = 24,507 : x
  2. Step 2: Convert to fraction form
    86,836.50/130,254.75 = 24,507/x
  3. Step 3: Cross multiply
    86,836.50x = 130,254.75 × 24,507
  4. Step 4: Simplify right side
    86,836.50x = 3,192,153,158.25
  5. Step 5: Solve for x
    x = 3,192,153,158.25/86,836.50
  6. Step 6: Final answer
    x = 36,760.50

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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.