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Finding the Fourth Proportional to 85,823.80, 128,541.30 and 50,831.80

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Solution

The fourth proportional to 85,823.80, 128,541.30 and 50,831.80 is: 76,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,823.80 : 128,541.30 = 50,831.80 : x
  2. Step 2: Convert to fraction form
    85,823.80/128,541.30 = 50,831.80/x
  3. Step 3: Cross multiply
    85,823.80x = 128,541.30 × 50,831.80
  4. Step 4: Simplify right side
    85,823.80x = 6,533,985,653.34
  5. Step 5: Solve for x
    x = 6,533,985,653.34/85,823.80
  6. Step 6: Final answer
    x = 76,132.56

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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.