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Finding the Fourth Proportional to 87,205, 130,808.73 and 24,875.50

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Solution

The fourth proportional to 87,205, 130,808.73 and 24,875.50 is: 37,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,205 : 130,808.73 = 24,875.50 : x
  2. Step 2: Convert to fraction form
    87,205/130,808.73 = 24,875.50/x
  3. Step 3: Cross multiply
    87,205x = 130,808.73 × 24,875.50
  4. Step 4: Simplify right side
    87,205x = 3,253,932,563.12
  5. Step 5: Solve for x
    x = 3,253,932,563.12/87,205
  6. Step 6: Final answer
    x = 37,313.60

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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.