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Finding the Fourth Proportional to 77,587.68, 116,381.52 and 36,012

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Solution

The fourth proportional to 77,587.68, 116,381.52 and 36,012 is: 54,018.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,587.68 : 116,381.52 = 36,012 : x
  2. Step 2: Convert to fraction form
    77,587.68/116,381.52 = 36,012/x
  3. Step 3: Cross multiply
    77,587.68x = 116,381.52 × 36,012
  4. Step 4: Simplify right side
    77,587.68x = 4,191,131,298.24
  5. Step 5: Solve for x
    x = 4,191,131,298.24/77,587.68
  6. Step 6: Final answer
    x = 54,018.00

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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.