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Finding the Fourth Proportional to 76,117.83, 114,101.44 and 36,066.45

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Solution

The fourth proportional to 76,117.83, 114,101.44 and 36,066.45 is: 54,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,117.83 : 114,101.44 = 36,066.45 : x
  2. Step 2: Convert to fraction form
    76,117.83/114,101.44 = 36,066.45/x
  3. Step 3: Cross multiply
    76,117.83x = 114,101.44 × 36,066.45
  4. Step 4: Simplify right side
    76,117.83x = 4,115,234,218.40
  5. Step 5: Solve for x
    x = 4,115,234,218.40/76,117.83
  6. Step 6: Final answer
    x = 54,064.00

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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.