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Finding the Fourth Proportional to 76,465.32, 114,768.03 and 40,966.71

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Solution

The fourth proportional to 76,465.32, 114,768.03 and 40,966.71 is: 61,487.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,465.32 : 114,768.03 = 40,966.71 : x
  2. Step 2: Convert to fraction form
    76,465.32/114,768.03 = 40,966.71/x
  3. Step 3: Cross multiply
    76,465.32x = 114,768.03 × 40,966.71
  4. Step 4: Simplify right side
    76,465.32x = 4,701,668,602.28
  5. Step 5: Solve for x
    x = 4,701,668,602.28/76,465.32
  6. Step 6: Final answer
    x = 61,487.59

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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.