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Finding the Fourth Proportional to 51,133.80, 76,686.66 and 32,385.72

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Solution

The fourth proportional to 51,133.80, 76,686.66 and 32,385.72 is: 48,569.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,133.80 : 76,686.66 = 32,385.72 : x
  2. Step 2: Convert to fraction form
    51,133.80/76,686.66 = 32,385.72/x
  3. Step 3: Cross multiply
    51,133.80x = 76,686.66 × 32,385.72
  4. Step 4: Simplify right side
    51,133.80x = 2,483,552,698.50
  5. Step 5: Solve for x
    x = 2,483,552,698.50/51,133.80
  6. Step 6: Final answer
    x = 48,569.69

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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.