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Finding the Fourth Proportional to 76,459.84, 114,705.71 and 38,530.44

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Solution

The fourth proportional to 76,459.84, 114,705.71 and 38,530.44 is: 57,803.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,459.84 : 114,705.71 = 38,530.44 : x
  2. Step 2: Convert to fraction form
    76,459.84/114,705.71 = 38,530.44/x
  3. Step 3: Cross multiply
    76,459.84x = 114,705.71 × 38,530.44
  4. Step 4: Simplify right side
    76,459.84x = 4,419,661,476.81
  5. Step 5: Solve for x
    x = 4,419,661,476.81/76,459.84
  6. Step 6: Final answer
    x = 57,803.70

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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.