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Finding the Fourth Proportional to 64,712.42, 97,041.75 and 22,583.51

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Solution

The fourth proportional to 64,712.42, 97,041.75 and 22,583.51 is: 33,865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,712.42 : 97,041.75 = 22,583.51 : x
  2. Step 2: Convert to fraction form
    64,712.42/97,041.75 = 22,583.51/x
  3. Step 3: Cross multiply
    64,712.42x = 97,041.75 × 22,583.51
  4. Step 4: Simplify right side
    64,712.42x = 2,191,543,125.55
  5. Step 5: Solve for x
    x = 2,191,543,125.55/64,712.42
  6. Step 6: Final answer
    x = 33,865.88

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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.