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Finding the Fourth Proportional to 35,315.68, 52,973.16 and 10,691.68

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Solution

The fourth proportional to 35,315.68, 52,973.16 and 10,691.68 is: 16,037.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,315.68 : 52,973.16 = 10,691.68 : x
  2. Step 2: Convert to fraction form
    35,315.68/52,973.16 = 10,691.68/x
  3. Step 3: Cross multiply
    35,315.68x = 52,973.16 × 10,691.68
  4. Step 4: Simplify right side
    35,315.68x = 566,372,075.31
  5. Step 5: Solve for x
    x = 566,372,075.31/35,315.68
  6. Step 6: Final answer
    x = 16,037.41

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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.