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Finding the Fourth Proportional to 75,358.32, 112,957.26 and 35,831.88

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Solution

The fourth proportional to 75,358.32, 112,957.26 and 35,831.88 is: 53,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,358.32 : 112,957.26 = 35,831.88 : x
  2. Step 2: Convert to fraction form
    75,358.32/112,957.26 = 35,831.88/x
  3. Step 3: Cross multiply
    75,358.32x = 112,957.26 × 35,831.88
  4. Step 4: Simplify right side
    75,358.32x = 4,047,470,985.45
  5. Step 5: Solve for x
    x = 4,047,470,985.45/75,358.32
  6. Step 6: Final answer
    x = 53,709.68

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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.