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Finding the Fourth Proportional to 82,064.19, 122,973.12 and 63,316.11

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Solution

The fourth proportional to 82,064.19, 122,973.12 and 63,316.11 is: 94,879.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,064.19 : 122,973.12 = 63,316.11 : x
  2. Step 2: Convert to fraction form
    82,064.19/122,973.12 = 63,316.11/x
  3. Step 3: Cross multiply
    82,064.19x = 122,973.12 × 63,316.11
  4. Step 4: Simplify right side
    82,064.19x = 7,786,179,592.96
  5. Step 5: Solve for x
    x = 7,786,179,592.96/82,064.19
  6. Step 6: Final answer
    x = 94,879.14

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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.