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Finding the Fourth Proportional to 30,892.48, 46,340.36 and 9,831.07

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Solution

The fourth proportional to 30,892.48, 46,340.36 and 9,831.07 is: 14,747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.48 : 46,340.36 = 9,831.07 : x
  2. Step 2: Convert to fraction form
    30,892.48/46,340.36 = 9,831.07/x
  3. Step 3: Cross multiply
    30,892.48x = 46,340.36 × 9,831.07
  4. Step 4: Simplify right side
    30,892.48x = 455,575,322.99
  5. Step 5: Solve for x
    x = 455,575,322.99/30,892.48
  6. Step 6: Final answer
    x = 14,747.13

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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.