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Finding the Fourth Proportional to 51,342.54, 77,016.54 and 16,284.93

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Solution

The fourth proportional to 51,342.54, 77,016.54 and 16,284.93 is: 24,428.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,342.54 : 77,016.54 = 16,284.93 : x
  2. Step 2: Convert to fraction form
    51,342.54/77,016.54 = 16,284.93/x
  3. Step 3: Cross multiply
    51,342.54x = 77,016.54 × 16,284.93
  4. Step 4: Simplify right side
    51,342.54x = 1,254,208,962.74
  5. Step 5: Solve for x
    x = 1,254,208,962.74/51,342.54
  6. Step 6: Final answer
    x = 24,428.26

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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.