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Finding the Fourth Proportional to 127,570.72, 191,365.86 and 38,831.80

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Solution

The fourth proportional to 127,570.72, 191,365.86 and 38,831.80 is: 58,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,570.72 : 191,365.86 = 38,831.80 : x
  2. Step 2: Convert to fraction form
    127,570.72/191,365.86 = 38,831.80/x
  3. Step 3: Cross multiply
    127,570.72x = 191,365.86 × 38,831.80
  4. Step 4: Simplify right side
    127,570.72x = 7,431,080,802.35
  5. Step 5: Solve for x
    x = 7,431,080,802.35/127,570.72
  6. Step 6: Final answer
    x = 58,250.68

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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.