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Finding the Fourth Proportional to 76,473.76, 114,666 and 29,671.96

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Solution

The fourth proportional to 76,473.76, 114,666 and 29,671.96 is: 44,490.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,473.76 : 114,666 = 29,671.96 : x
  2. Step 2: Convert to fraction form
    76,473.76/114,666 = 29,671.96/x
  3. Step 3: Cross multiply
    76,473.76x = 114,666 × 29,671.96
  4. Step 4: Simplify right side
    76,473.76x = 3,402,364,965.36
  5. Step 5: Solve for x
    x = 3,402,364,965.36/76,473.76
  6. Step 6: Final answer
    x = 44,490.62

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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.