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Finding the Fourth Proportional to 102,404.70, 153,602.24 and 35,859.74

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Solution

The fourth proportional to 102,404.70, 153,602.24 and 35,859.74 is: 53,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,404.70 : 153,602.24 = 35,859.74 : x
  2. Step 2: Convert to fraction form
    102,404.70/153,602.24 = 35,859.74/x
  3. Step 3: Cross multiply
    102,404.70x = 153,602.24 × 35,859.74
  4. Step 4: Simplify right side
    102,404.70x = 5,508,136,389.82
  5. Step 5: Solve for x
    x = 5,508,136,389.82/102,404.70
  6. Step 6: Final answer
    x = 53,787.93

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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.