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Finding the Fourth Proportional to 97,471.84, 134,515.30 and 57,216.46

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Solution

The fourth proportional to 97,471.84, 134,515.30 and 57,216.46 is: 78,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,471.84 : 134,515.30 = 57,216.46 : x
  2. Step 2: Convert to fraction form
    97,471.84/134,515.30 = 57,216.46/x
  3. Step 3: Cross multiply
    97,471.84x = 134,515.30 × 57,216.46
  4. Step 4: Simplify right side
    97,471.84x = 7,696,489,281.84
  5. Step 5: Solve for x
    x = 7,696,489,281.84/97,471.84
  6. Step 6: Final answer
    x = 78,961.16

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Why These Related Problems?

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