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Finding the Fourth Proportional to 64,971.64, 97,458.03 and 22,852.03

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Solution

The fourth proportional to 64,971.64, 97,458.03 and 22,852.03 is: 34,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,971.64 : 97,458.03 = 22,852.03 : x
  2. Step 2: Convert to fraction form
    64,971.64/97,458.03 = 22,852.03/x
  3. Step 3: Cross multiply
    64,971.64x = 97,458.03 × 22,852.03
  4. Step 4: Simplify right side
    64,971.64x = 2,227,113,974.22
  5. Step 5: Solve for x
    x = 2,227,113,974.22/64,971.64
  6. Step 6: Final answer
    x = 34,278.25

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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.