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Finding the Fourth Proportional to 77,856.48, 107,442.08 and 44,322.48

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Solution

The fourth proportional to 77,856.48, 107,442.08 and 44,322.48 is: 61,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,856.48 : 107,442.08 = 44,322.48 : x
  2. Step 2: Convert to fraction form
    77,856.48/107,442.08 = 44,322.48/x
  3. Step 3: Cross multiply
    77,856.48x = 107,442.08 × 44,322.48
  4. Step 4: Simplify right side
    77,856.48x = 4,762,099,441.96
  5. Step 5: Solve for x
    x = 4,762,099,441.96/77,856.48
  6. Step 6: Final answer
    x = 61,165.10

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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.