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Finding the Fourth Proportional to 97,168.32, 145,762.11 and 27,047.61

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Solution

The fourth proportional to 97,168.32, 145,762.11 and 27,047.61 is: 40,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,168.32 : 145,762.11 = 27,047.61 : x
  2. Step 2: Convert to fraction form
    97,168.32/145,762.11 = 27,047.61/x
  3. Step 3: Cross multiply
    97,168.32x = 145,762.11 × 27,047.61
  4. Step 4: Simplify right side
    97,168.32x = 3,942,516,704.06
  5. Step 5: Solve for x
    x = 3,942,516,704.06/97,168.32
  6. Step 6: Final answer
    x = 40,574.10

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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.