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Finding the Fourth Proportional to 97,682, 134,801.16 and 52,970

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Solution

The fourth proportional to 97,682, 134,801.16 and 52,970 is: 73,098.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,682 : 134,801.16 = 52,970 : x
  2. Step 2: Convert to fraction form
    97,682/134,801.16 = 52,970/x
  3. Step 3: Cross multiply
    97,682x = 134,801.16 × 52,970
  4. Step 4: Simplify right side
    97,682x = 7,140,417,445.20
  5. Step 5: Solve for x
    x = 7,140,417,445.20/97,682
  6. Step 6: Final answer
    x = 73,098.60

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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.