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Finding the Fourth Proportional to 52,066.66, 78,100.95 and 18,789.22

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Solution

The fourth proportional to 52,066.66, 78,100.95 and 18,789.22 is: 28,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,066.66 : 78,100.95 = 18,789.22 : x
  2. Step 2: Convert to fraction form
    52,066.66/78,100.95 = 18,789.22/x
  3. Step 3: Cross multiply
    52,066.66x = 78,100.95 × 18,789.22
  4. Step 4: Simplify right side
    52,066.66x = 1,467,455,931.76
  5. Step 5: Solve for x
    x = 1,467,455,931.76/52,066.66
  6. Step 6: Final answer
    x = 28,184.18

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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.