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Finding the Fourth Proportional to 76,550.56, 114,776.47 and 36,547.90

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Solution

The fourth proportional to 76,550.56, 114,776.47 and 36,547.90 is: 54,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,550.56 : 114,776.47 = 36,547.90 : x
  2. Step 2: Convert to fraction form
    76,550.56/114,776.47 = 36,547.90/x
  3. Step 3: Cross multiply
    76,550.56x = 114,776.47 × 36,547.90
  4. Step 4: Simplify right side
    76,550.56x = 4,194,838,947.91
  5. Step 5: Solve for x
    x = 4,194,838,947.91/76,550.56
  6. Step 6: Final answer
    x = 54,798.28

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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.