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Finding the Fourth Proportional to 64,468.50, 96,811.79 and 42,017.32

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Solution

The fourth proportional to 64,468.50, 96,811.79 and 42,017.32 is: 63,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,468.50 : 96,811.79 = 42,017.32 : x
  2. Step 2: Convert to fraction form
    64,468.50/96,811.79 = 42,017.32/x
  3. Step 3: Cross multiply
    64,468.50x = 96,811.79 × 42,017.32
  4. Step 4: Simplify right side
    64,468.50x = 4,067,771,960.20
  5. Step 5: Solve for x
    x = 4,067,771,960.20/64,468.50
  6. Step 6: Final answer
    x = 63,097.05

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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.