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Finding the Fourth Proportional to 65,094.42, 97,656.28 and 22,977.48

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Solution

The fourth proportional to 65,094.42, 97,656.28 and 22,977.48 is: 34,471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,094.42 : 97,656.28 = 22,977.48 : x
  2. Step 2: Convert to fraction form
    65,094.42/97,656.28 = 22,977.48/x
  3. Step 3: Cross multiply
    65,094.42x = 97,656.28 × 22,977.48
  4. Step 4: Simplify right side
    65,094.42x = 2,243,895,220.57
  5. Step 5: Solve for x
    x = 2,243,895,220.57/65,094.42
  6. Step 6: Final answer
    x = 34,471.39

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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.