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Finding the Fourth Proportional to 85,197.51, 127,831.50 and 35,287.74

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Solution

The fourth proportional to 85,197.51, 127,831.50 and 35,287.74 is: 52,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,197.51 : 127,831.50 = 35,287.74 : x
  2. Step 2: Convert to fraction form
    85,197.51/127,831.50 = 35,287.74/x
  3. Step 3: Cross multiply
    85,197.51x = 127,831.50 × 35,287.74
  4. Step 4: Simplify right side
    85,197.51x = 4,510,884,735.81
  5. Step 5: Solve for x
    x = 4,510,884,735.81/85,197.51
  6. Step 6: Final answer
    x = 52,946.20

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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.