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Finding the Fourth Proportional to 97,767.86, 134,919.63 and 53,055.86

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Solution

The fourth proportional to 97,767.86, 134,919.63 and 53,055.86 is: 73,217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,767.86 : 134,919.63 = 53,055.86 : x
  2. Step 2: Convert to fraction form
    97,767.86/134,919.63 = 53,055.86/x
  3. Step 3: Cross multiply
    97,767.86x = 134,919.63 × 53,055.86
  4. Step 4: Simplify right side
    97,767.86x = 7,158,276,325.93
  5. Step 5: Solve for x
    x = 7,158,276,325.93/97,767.86
  6. Step 6: Final answer
    x = 73,217.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.