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Finding the Fourth Proportional to 64,345.92, 96,494.58 and 31,054.92

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Solution

The fourth proportional to 64,345.92, 96,494.58 and 31,054.92 is: 46,570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,345.92 : 96,494.58 = 31,054.92 : x
  2. Step 2: Convert to fraction form
    64,345.92/96,494.58 = 31,054.92/x
  3. Step 3: Cross multiply
    64,345.92x = 96,494.58 × 31,054.92
  4. Step 4: Simplify right side
    64,345.92x = 2,996,631,462.33
  5. Step 5: Solve for x
    x = 2,996,631,462.33/64,345.92
  6. Step 6: Final answer
    x = 46,570.65

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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.