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Finding the Fourth Proportional to 35,742.68, 53,599.62 and 10,775

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Solution

The fourth proportional to 35,742.68, 53,599.62 and 10,775 is: 16,158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,742.68 : 53,599.62 = 10,775 : x
  2. Step 2: Convert to fraction form
    35,742.68/53,599.62 = 10,775/x
  3. Step 3: Cross multiply
    35,742.68x = 53,599.62 × 10,775
  4. Step 4: Simplify right side
    35,742.68x = 577,535,905.50
  5. Step 5: Solve for x
    x = 577,535,905.50/35,742.68
  6. Step 6: Final answer
    x = 16,158.16

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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.