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Finding the Fourth Proportional to 55,967.28, 77,238.08 and 32,093.76

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Solution

The fourth proportional to 55,967.28, 77,238.08 and 32,093.76 is: 44,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,967.28 : 77,238.08 = 32,093.76 : x
  2. Step 2: Convert to fraction form
    55,967.28/77,238.08 = 32,093.76/x
  3. Step 3: Cross multiply
    55,967.28x = 77,238.08 × 32,093.76
  4. Step 4: Simplify right side
    55,967.28x = 2,478,860,402.38
  5. Step 5: Solve for x
    x = 2,478,860,402.38/55,967.28
  6. Step 6: Final answer
    x = 44,291.24

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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.