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Finding the Fourth Proportional to 75,360.76, 103,976.54 and 48,518.81

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Solution

The fourth proportional to 75,360.76, 103,976.54 and 48,518.81 is: 66,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,360.76 : 103,976.54 = 48,518.81 : x
  2. Step 2: Convert to fraction form
    75,360.76/103,976.54 = 48,518.81/x
  3. Step 3: Cross multiply
    75,360.76x = 103,976.54 × 48,518.81
  4. Step 4: Simplify right side
    75,360.76x = 5,044,817,798.10
  5. Step 5: Solve for x
    x = 5,044,817,798.10/75,360.76
  6. Step 6: Final answer
    x = 66,942.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.