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Finding the Fourth Proportional to 76,764, 115,096.52 and 32,378.88

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Solution

The fourth proportional to 76,764, 115,096.52 and 32,378.88 is: 48,547.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,764 : 115,096.52 = 32,378.88 : x
  2. Step 2: Convert to fraction form
    76,764/115,096.52 = 32,378.88/x
  3. Step 3: Cross multiply
    76,764x = 115,096.52 × 32,378.88
  4. Step 4: Simplify right side
    76,764x = 3,726,696,409.50
  5. Step 5: Solve for x
    x = 3,726,696,409.50/76,764
  6. Step 6: Final answer
    x = 48,547.45

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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.