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Finding the Fourth Proportional to 85,788, 128,733.84 and 36,540

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Solution

The fourth proportional to 85,788, 128,733.84 and 36,540 is: 54,832.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,788 : 128,733.84 = 36,540 : x
  2. Step 2: Convert to fraction form
    85,788/128,733.84 = 36,540/x
  3. Step 3: Cross multiply
    85,788x = 128,733.84 × 36,540
  4. Step 4: Simplify right side
    85,788x = 4,703,934,513.60
  5. Step 5: Solve for x
    x = 4,703,934,513.60/85,788
  6. Step 6: Final answer
    x = 54,832.08

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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.