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Finding the Fourth Proportional to 82,115.61, 113,319.63 and 44,389.86

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Solution

The fourth proportional to 82,115.61, 113,319.63 and 44,389.86 is: 61,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,115.61 : 113,319.63 = 44,389.86 : x
  2. Step 2: Convert to fraction form
    82,115.61/113,319.63 = 44,389.86/x
  3. Step 3: Cross multiply
    82,115.61x = 113,319.63 × 44,389.86
  4. Step 4: Simplify right side
    82,115.61x = 5,030,242,510.95
  5. Step 5: Solve for x
    x = 5,030,242,510.95/82,115.61
  6. Step 6: Final answer
    x = 61,258.05

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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.