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Finding the Fourth Proportional to 97,744, 134,887.44 and 53,032

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Solution

The fourth proportional to 97,744, 134,887.44 and 53,032 is: 73,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,744 : 134,887.44 = 53,032 : x
  2. Step 2: Convert to fraction form
    97,744/134,887.44 = 53,032/x
  3. Step 3: Cross multiply
    97,744x = 134,887.44 × 53,032
  4. Step 4: Simplify right side
    97,744x = 7,153,350,718.08
  5. Step 5: Solve for x
    x = 7,153,350,718.08/97,744
  6. Step 6: Final answer
    x = 73,184.55

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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.