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Finding the Fourth Proportional to 51,807.70, 77,333.32 and 44,459.38

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Solution

The fourth proportional to 51,807.70, 77,333.32 and 44,459.38 is: 66,364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,807.70 : 77,333.32 = 44,459.38 : x
  2. Step 2: Convert to fraction form
    51,807.70/77,333.32 = 44,459.38/x
  3. Step 3: Cross multiply
    51,807.70x = 77,333.32 × 44,459.38
  4. Step 4: Simplify right side
    51,807.70x = 3,438,191,460.54
  5. Step 5: Solve for x
    x = 3,438,191,460.54/51,807.70
  6. Step 6: Final answer
    x = 66,364.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.