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Finding the Fourth Proportional to 76,155.65, 114,108.63 and 53,929.11

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Solution

The fourth proportional to 76,155.65, 114,108.63 and 53,929.11 is: 80,805.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,155.65 : 114,108.63 = 53,929.11 : x
  2. Step 2: Convert to fraction form
    76,155.65/114,108.63 = 53,929.11/x
  3. Step 3: Cross multiply
    76,155.65x = 114,108.63 × 53,929.11
  4. Step 4: Simplify right side
    76,155.65x = 6,153,776,859.22
  5. Step 5: Solve for x
    x = 6,153,776,859.22/76,155.65
  6. Step 6: Final answer
    x = 80,805.26

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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.