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Finding the Fourth Proportional to 35,671.20, 53,510 and 9,375.52

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Solution

The fourth proportional to 35,671.20, 53,510 and 9,375.52 is: 14,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,671.20 : 53,510 = 9,375.52 : x
  2. Step 2: Convert to fraction form
    35,671.20/53,510 = 9,375.52/x
  3. Step 3: Cross multiply
    35,671.20x = 53,510 × 9,375.52
  4. Step 4: Simplify right side
    35,671.20x = 501,684,075.20
  5. Step 5: Solve for x
    x = 501,684,075.20/35,671.20
  6. Step 6: Final answer
    x = 14,064.12

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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.