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Finding the Fourth Proportional to 51,603.68, 77,407 and 14,164.06

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Solution

The fourth proportional to 51,603.68, 77,407 and 14,164.06 is: 21,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,603.68 : 77,407 = 14,164.06 : x
  2. Step 2: Convert to fraction form
    51,603.68/77,407 = 14,164.06/x
  3. Step 3: Cross multiply
    51,603.68x = 77,407 × 14,164.06
  4. Step 4: Simplify right side
    51,603.68x = 1,096,397,392.42
  5. Step 5: Solve for x
    x = 1,096,397,392.42/51,603.68
  6. Step 6: Final answer
    x = 21,246.50

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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.