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Finding the Fourth Proportional to 51,648.66, 77,505.76 and 22,066.72

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Solution

The fourth proportional to 51,648.66, 77,505.76 and 22,066.72 is: 33,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,648.66 : 77,505.76 = 22,066.72 : x
  2. Step 2: Convert to fraction form
    51,648.66/77,505.76 = 22,066.72/x
  3. Step 3: Cross multiply
    51,648.66x = 77,505.76 × 22,066.72
  4. Step 4: Simplify right side
    51,648.66x = 1,710,297,904.31
  5. Step 5: Solve for x
    x = 1,710,297,904.31/51,648.66
  6. Step 6: Final answer
    x = 33,114.08

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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.