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Finding the Fourth Proportional to 30,875.25, 46,238.87 and 15,842.81

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Solution

The fourth proportional to 30,875.25, 46,238.87 and 15,842.81 is: 23,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,875.25 : 46,238.87 = 15,842.81 : x
  2. Step 2: Convert to fraction form
    30,875.25/46,238.87 = 15,842.81/x
  3. Step 3: Cross multiply
    30,875.25x = 46,238.87 × 15,842.81
  4. Step 4: Simplify right side
    30,875.25x = 732,553,632.02
  5. Step 5: Solve for x
    x = 732,553,632.02/30,875.25
  6. Step 6: Final answer
    x = 23,726.24

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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.