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Finding the Fourth Proportional to 31,380, 47,075.80 and 10,321.20

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Solution

The fourth proportional to 31,380, 47,075.80 and 10,321.20 is: 15,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,380 : 47,075.80 = 10,321.20 : x
  2. Step 2: Convert to fraction form
    31,380/47,075.80 = 10,321.20/x
  3. Step 3: Cross multiply
    31,380x = 47,075.80 × 10,321.20
  4. Step 4: Simplify right side
    31,380x = 485,878,746.96
  5. Step 5: Solve for x
    x = 485,878,746.96/31,380
  6. Step 6: Final answer
    x = 15,483.71

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