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Finding the Fourth Proportional to 64,405.96, 96,599.71 and 31,117.09

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Solution

The fourth proportional to 64,405.96, 96,599.71 and 31,117.09 is: 46,671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,405.96 : 96,599.71 = 31,117.09 : x
  2. Step 2: Convert to fraction form
    64,405.96/96,599.71 = 31,117.09/x
  3. Step 3: Cross multiply
    64,405.96x = 96,599.71 × 31,117.09
  4. Step 4: Simplify right side
    64,405.96x = 3,005,901,550.75
  5. Step 5: Solve for x
    x = 3,005,901,550.75/64,405.96
  6. Step 6: Final answer
    x = 46,671.17

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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.