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Finding the Fourth Proportional to 98,381.74, 147,484.94 and 36,037.66

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Solution

The fourth proportional to 98,381.74, 147,484.94 and 36,037.66 is: 54,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,381.74 : 147,484.94 = 36,037.66 : x
  2. Step 2: Convert to fraction form
    98,381.74/147,484.94 = 36,037.66/x
  3. Step 3: Cross multiply
    98,381.74x = 147,484.94 × 36,037.66
  4. Step 4: Simplify right side
    98,381.74x = 5,315,012,122.84
  5. Step 5: Solve for x
    x = 5,315,012,122.84/98,381.74
  6. Step 6: Final answer
    x = 54,024.38

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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.