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Finding the Fourth Proportional to 67,731.53, 101,602.16 and 23,357.64

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Solution

The fourth proportional to 67,731.53, 101,602.16 and 23,357.64 is: 35,038.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,731.53 : 101,602.16 = 23,357.64 : x
  2. Step 2: Convert to fraction form
    67,731.53/101,602.16 = 23,357.64/x
  3. Step 3: Cross multiply
    67,731.53x = 101,602.16 × 23,357.64
  4. Step 4: Simplify right side
    67,731.53x = 2,373,186,559.71
  5. Step 5: Solve for x
    x = 2,373,186,559.71/67,731.53
  6. Step 6: Final answer
    x = 35,038.14

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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.