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Finding the Fourth Proportional to 92,035.84, 138,053.76 and 29,715.52

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Solution

The fourth proportional to 92,035.84, 138,053.76 and 29,715.52 is: 44,573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,035.84 : 138,053.76 = 29,715.52 : x
  2. Step 2: Convert to fraction form
    92,035.84/138,053.76 = 29,715.52/x
  3. Step 3: Cross multiply
    92,035.84x = 138,053.76 × 29,715.52
  4. Step 4: Simplify right side
    92,035.84x = 4,102,339,266.36
  5. Step 5: Solve for x
    x = 4,102,339,266.36/92,035.84
  6. Step 6: Final answer
    x = 44,573.28

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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.