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Finding the Fourth Proportional to 64,811.51, 97,202.66 and 23,258.51

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Solution

The fourth proportional to 64,811.51, 97,202.66 and 23,258.51 is: 34,882.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,811.51 : 97,202.66 = 23,258.51 : x
  2. Step 2: Convert to fraction form
    64,811.51/97,202.66 = 23,258.51/x
  3. Step 3: Cross multiply
    64,811.51x = 97,202.66 × 23,258.51
  4. Step 4: Simplify right side
    64,811.51x = 2,260,788,437.33
  5. Step 5: Solve for x
    x = 2,260,788,437.33/64,811.51
  6. Step 6: Final answer
    x = 34,882.52

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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.