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Finding the Fourth Proportional to 52,055.71, 78,096.93 and 14,615.89

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Solution

The fourth proportional to 52,055.71, 78,096.93 and 14,615.89 is: 21,927.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,055.71 : 78,096.93 = 14,615.89 : x
  2. Step 2: Convert to fraction form
    52,055.71/78,096.93 = 14,615.89/x
  3. Step 3: Cross multiply
    52,055.71x = 78,096.93 × 14,615.89
  4. Step 4: Simplify right side
    52,055.71x = 1,141,456,138.22
  5. Step 5: Solve for x
    x = 1,141,456,138.22/52,055.71
  6. Step 6: Final answer
    x = 21,927.59

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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.