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Finding the Fourth Proportional to 30,831.84, 46,115.93 and 25,735.02

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Solution

The fourth proportional to 30,831.84, 46,115.93 and 25,735.02 is: 38,492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.84 : 46,115.93 = 25,735.02 : x
  2. Step 2: Convert to fraction form
    30,831.84/46,115.93 = 25,735.02/x
  3. Step 3: Cross multiply
    30,831.84x = 46,115.93 × 25,735.02
  4. Step 4: Simplify right side
    30,831.84x = 1,186,794,272.27
  5. Step 5: Solve for x
    x = 1,186,794,272.27/30,831.84
  6. Step 6: Final answer
    x = 38,492.49

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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.