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Finding the Fourth Proportional to 64,205.84, 96,308.48 and 17,458.58

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Solution

The fourth proportional to 64,205.84, 96,308.48 and 17,458.58 is: 26,187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,205.84 : 96,308.48 = 17,458.58 : x
  2. Step 2: Convert to fraction form
    64,205.84/96,308.48 = 17,458.58/x
  3. Step 3: Cross multiply
    64,205.84x = 96,308.48 × 17,458.58
  4. Step 4: Simplify right side
    64,205.84x = 1,681,408,864.86
  5. Step 5: Solve for x
    x = 1,681,408,864.86/64,205.84
  6. Step 6: Final answer
    x = 26,187.79

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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.