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Finding the Fourth Proportional to 83,461.84, 115,114.50 and 57,968.22

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Solution

The fourth proportional to 83,461.84, 115,114.50 and 57,968.22 is: 79,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,461.84 : 115,114.50 = 57,968.22 : x
  2. Step 2: Convert to fraction form
    83,461.84/115,114.50 = 57,968.22/x
  3. Step 3: Cross multiply
    83,461.84x = 115,114.50 × 57,968.22
  4. Step 4: Simplify right side
    83,461.84x = 6,672,982,661.19
  5. Step 5: Solve for x
    x = 6,672,982,661.19/83,461.84
  6. Step 6: Final answer
    x = 79,952.50

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1.5x scale

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.