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Finding the Fourth Proportional to 64,646.96, 96,953.16 and 17,902.40

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Solution

The fourth proportional to 64,646.96, 96,953.16 and 17,902.40 is: 26,848.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,646.96 : 96,953.16 = 17,902.40 : x
  2. Step 2: Convert to fraction form
    64,646.96/96,953.16 = 17,902.40/x
  3. Step 3: Cross multiply
    64,646.96x = 96,953.16 × 17,902.40
  4. Step 4: Simplify right side
    64,646.96x = 1,735,694,251.58
  5. Step 5: Solve for x
    x = 1,735,694,251.58/64,646.96
  6. Step 6: Final answer
    x = 26,848.81

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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.