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Finding the Fourth Proportional to 64,972.36, 97,468.71 and 27,532.66

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Solution

The fourth proportional to 64,972.36, 97,468.71 and 27,532.66 is: 41,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,972.36 : 97,468.71 = 27,532.66 : x
  2. Step 2: Convert to fraction form
    64,972.36/97,468.71 = 27,532.66/x
  3. Step 3: Cross multiply
    64,972.36x = 97,468.71 × 27,532.66
  4. Step 4: Simplify right side
    64,972.36x = 2,683,572,853.07
  5. Step 5: Solve for x
    x = 2,683,572,853.07/64,972.36
  6. Step 6: Final answer
    x = 41,303.30

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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.