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Finding the Fourth Proportional to 97,461, 134,499.44 and 59,727.96

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Solution

The fourth proportional to 97,461, 134,499.44 and 59,727.96 is: 82,426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,461 : 134,499.44 = 59,727.96 : x
  2. Step 2: Convert to fraction form
    97,461/134,499.44 = 59,727.96/x
  3. Step 3: Cross multiply
    97,461x = 134,499.44 × 59,727.96
  4. Step 4: Simplify right side
    97,461x = 8,033,377,172.34
  5. Step 5: Solve for x
    x = 8,033,377,172.34/97,461
  6. Step 6: Final answer
    x = 82,426.58

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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.