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Finding the Fourth Proportional to 107,724, 161,588.88 and 36,646.50

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Solution

The fourth proportional to 107,724, 161,588.88 and 36,646.50 is: 54,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,724 : 161,588.88 = 36,646.50 : x
  2. Step 2: Convert to fraction form
    107,724/161,588.88 = 36,646.50/x
  3. Step 3: Cross multiply
    107,724x = 161,588.88 × 36,646.50
  4. Step 4: Simplify right side
    107,724x = 5,921,666,890.92
  5. Step 5: Solve for x
    x = 5,921,666,890.92/107,724
  6. Step 6: Final answer
    x = 54,970.73

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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.