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Finding the Fourth Proportional to 97,397, 134,407.98 and 52,685

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Solution

The fourth proportional to 97,397, 134,407.98 and 52,685 is: 72,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,397 : 134,407.98 = 52,685 : x
  2. Step 2: Convert to fraction form
    97,397/134,407.98 = 52,685/x
  3. Step 3: Cross multiply
    97,397x = 134,407.98 × 52,685
  4. Step 4: Simplify right side
    97,397x = 7,081,284,426.30
  5. Step 5: Solve for x
    x = 7,081,284,426.30/97,397
  6. Step 6: Final answer
    x = 72,705.36

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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.