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Finding the Fourth Proportional to 76,484.18, 114,737.93 and 39,023.82

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Solution

The fourth proportional to 76,484.18, 114,737.93 and 39,023.82 is: 58,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,484.18 : 114,737.93 = 39,023.82 : x
  2. Step 2: Convert to fraction form
    76,484.18/114,737.93 = 39,023.82/x
  3. Step 3: Cross multiply
    76,484.18x = 114,737.93 × 39,023.82
  4. Step 4: Simplify right side
    76,484.18x = 4,477,512,132.37
  5. Step 5: Solve for x
    x = 4,477,512,132.37/76,484.18
  6. Step 6: Final answer
    x = 58,541.68

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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.