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Finding the Fourth Proportional to 64,064.52, 96,117.33 and 30,787

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Solution

The fourth proportional to 64,064.52, 96,117.33 and 30,787 is: 46,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,064.52 : 96,117.33 = 30,787 : x
  2. Step 2: Convert to fraction form
    64,064.52/96,117.33 = 30,787/x
  3. Step 3: Cross multiply
    64,064.52x = 96,117.33 × 30,787
  4. Step 4: Simplify right side
    64,064.52x = 2,959,164,238.71
  5. Step 5: Solve for x
    x = 2,959,164,238.71/64,064.52
  6. Step 6: Final answer
    x = 46,190.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.