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Finding the Fourth Proportional to 51,807.72, 77,686.83 and 23,719.32

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Solution

The fourth proportional to 51,807.72, 77,686.83 and 23,719.32 is: 35,567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,807.72 : 77,686.83 = 23,719.32 : x
  2. Step 2: Convert to fraction form
    51,807.72/77,686.83 = 23,719.32/x
  3. Step 3: Cross multiply
    51,807.72x = 77,686.83 × 23,719.32
  4. Step 4: Simplify right side
    51,807.72x = 1,842,678,780.56
  5. Step 5: Solve for x
    x = 1,842,678,780.56/51,807.72
  6. Step 6: Final answer
    x = 35,567.65

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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.