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Finding the Fourth Proportional to 64,970.70, 97,475.85 and 27,511.26

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Solution

The fourth proportional to 64,970.70, 97,475.85 and 27,511.26 is: 41,275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,970.70 : 97,475.85 = 27,511.26 : x
  2. Step 2: Convert to fraction form
    64,970.70/97,475.85 = 27,511.26/x
  3. Step 3: Cross multiply
    64,970.70x = 97,475.85 × 27,511.26
  4. Step 4: Simplify right side
    64,970.70x = 2,681,683,453.07
  5. Step 5: Solve for x
    x = 2,681,683,453.07/64,970.70
  6. Step 6: Final answer
    x = 41,275.27

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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.