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Finding the Fourth Proportional to 70,506.28, 97,283.46 and 40,681

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Solution

The fourth proportional to 70,506.28, 97,283.46 and 40,681 is: 56,131.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,506.28 : 97,283.46 = 40,681 : x
  2. Step 2: Convert to fraction form
    70,506.28/97,283.46 = 40,681/x
  3. Step 3: Cross multiply
    70,506.28x = 97,283.46 × 40,681
  4. Step 4: Simplify right side
    70,506.28x = 3,957,588,436.26
  5. Step 5: Solve for x
    x = 3,957,588,436.26/70,506.28
  6. Step 6: Final answer
    x = 56,131.01

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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.