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Finding the Fourth Proportional to 76,480.61, 114,767.08 and 54,476.96

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Solution

The fourth proportional to 76,480.61, 114,767.08 and 54,476.96 is: 81,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,480.61 : 114,767.08 = 54,476.96 : x
  2. Step 2: Convert to fraction form
    76,480.61/114,767.08 = 54,476.96/x
  3. Step 3: Cross multiply
    76,480.61x = 114,767.08 × 54,476.96
  4. Step 4: Simplify right side
    76,480.61x = 6,252,160,916.45
  5. Step 5: Solve for x
    x = 6,252,160,916.45/76,480.61
  6. Step 6: Final answer
    x = 81,748.32

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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.