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Finding the Fourth Proportional to 76,524.34, 105,566.84 and 65,895.52

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Solution

The fourth proportional to 76,524.34, 105,566.84 and 65,895.52 is: 90,904.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,524.34 : 105,566.84 = 65,895.52 : x
  2. Step 2: Convert to fraction form
    76,524.34/105,566.84 = 65,895.52/x
  3. Step 3: Cross multiply
    76,524.34x = 105,566.84 × 65,895.52
  4. Step 4: Simplify right side
    76,524.34x = 6,956,381,717.38
  5. Step 5: Solve for x
    x = 6,956,381,717.38/76,524.34
  6. Step 6: Final answer
    x = 90,904.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.