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Finding the Fourth Proportional to 35,752.68, 53,614.62 and 10,785

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Solution

The fourth proportional to 35,752.68, 53,614.62 and 10,785 is: 16,173.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,752.68 : 53,614.62 = 10,785 : x
  2. Step 2: Convert to fraction form
    35,752.68/53,614.62 = 10,785/x
  3. Step 3: Cross multiply
    35,752.68x = 53,614.62 × 10,785
  4. Step 4: Simplify right side
    35,752.68x = 578,233,676.70
  5. Step 5: Solve for x
    x = 578,233,676.70/35,752.68
  6. Step 6: Final answer
    x = 16,173.16

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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.