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Finding the Fourth Proportional to 73,831.65, 110,802.15 and 54,148.65

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Solution

The fourth proportional to 73,831.65, 110,802.15 and 54,148.65 is: 81,263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,831.65 : 110,802.15 = 54,148.65 : x
  2. Step 2: Convert to fraction form
    73,831.65/110,802.15 = 54,148.65/x
  3. Step 3: Cross multiply
    73,831.65x = 110,802.15 × 54,148.65
  4. Step 4: Simplify right side
    73,831.65x = 5,999,786,839.60
  5. Step 5: Solve for x
    x = 5,999,786,839.60/73,831.65
  6. Step 6: Final answer
    x = 81,263.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.