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Finding the Fourth Proportional to 55,852.46, 83,752.36 and 20,288.71

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Solution

The fourth proportional to 55,852.46, 83,752.36 and 20,288.71 is: 30,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,852.46 : 83,752.36 = 20,288.71 : x
  2. Step 2: Convert to fraction form
    55,852.46/83,752.36 = 20,288.71/x
  3. Step 3: Cross multiply
    55,852.46x = 83,752.36 × 20,288.71
  4. Step 4: Simplify right side
    55,852.46x = 1,699,226,925.09
  5. Step 5: Solve for x
    x = 1,699,226,925.09/55,852.46
  6. Step 6: Final answer
    x = 30,423.50

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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.