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Finding the Fourth Proportional to 76,800.92, 114,927.66 and 53,113.28

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Solution

The fourth proportional to 76,800.92, 114,927.66 and 53,113.28 is: 79,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,800.92 : 114,927.66 = 53,113.28 : x
  2. Step 2: Convert to fraction form
    76,800.92/114,927.66 = 53,113.28/x
  3. Step 3: Cross multiply
    76,800.92x = 114,927.66 × 53,113.28
  4. Step 4: Simplify right side
    76,800.92x = 6,104,184,985.32
  5. Step 5: Solve for x
    x = 6,104,184,985.32/76,800.92
  6. Step 6: Final answer
    x = 79,480.62

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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.