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Finding the Fourth Proportional to 59,476, 82,076.88 and 32,980

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Solution

The fourth proportional to 59,476, 82,076.88 and 32,980 is: 45,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,476 : 82,076.88 = 32,980 : x
  2. Step 2: Convert to fraction form
    59,476/82,076.88 = 32,980/x
  3. Step 3: Cross multiply
    59,476x = 82,076.88 × 32,980
  4. Step 4: Simplify right side
    59,476x = 2,706,895,502.40
  5. Step 5: Solve for x
    x = 2,706,895,502.40/59,476
  6. Step 6: Final answer
    x = 45,512.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.