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Finding the Fourth Proportional to 64,822.29, 97,232.47 and 39,529.24

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Solution

The fourth proportional to 64,822.29, 97,232.47 and 39,529.24 is: 59,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,822.29 : 97,232.47 = 39,529.24 : x
  2. Step 2: Convert to fraction form
    64,822.29/97,232.47 = 39,529.24/x
  3. Step 3: Cross multiply
    64,822.29x = 97,232.47 × 39,529.24
  4. Step 4: Simplify right side
    64,822.29x = 3,843,525,522.87
  5. Step 5: Solve for x
    x = 3,843,525,522.87/64,822.29
  6. Step 6: Final answer
    x = 59,293.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.