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Finding the Fourth Proportional to 55,509.84, 83,264.76 and 32,123.52

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Solution

The fourth proportional to 55,509.84, 83,264.76 and 32,123.52 is: 48,185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,509.84 : 83,264.76 = 32,123.52 : x
  2. Step 2: Convert to fraction form
    55,509.84/83,264.76 = 32,123.52/x
  3. Step 3: Cross multiply
    55,509.84x = 83,264.76 × 32,123.52
  4. Step 4: Simplify right side
    55,509.84x = 2,674,757,183.16
  5. Step 5: Solve for x
    x = 2,674,757,183.16/55,509.84
  6. Step 6: Final answer
    x = 48,185.28

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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.