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Finding the Fourth Proportional to 87,075.30, 130,671.18 and 31,671.30

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Solution

The fourth proportional to 87,075.30, 130,671.18 and 31,671.30 is: 47,528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,075.30 : 130,671.18 = 31,671.30 : x
  2. Step 2: Convert to fraction form
    87,075.30/130,671.18 = 31,671.30/x
  3. Step 3: Cross multiply
    87,075.30x = 130,671.18 × 31,671.30
  4. Step 4: Simplify right side
    87,075.30x = 4,138,526,143.13
  5. Step 5: Solve for x
    x = 4,138,526,143.13/87,075.30
  6. Step 6: Final answer
    x = 47,528.13

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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.