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Finding the Fourth Proportional to 107,388, 161,051.02 and 32,490.54

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Solution

The fourth proportional to 107,388, 161,051.02 and 32,490.54 is: 48,726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,388 : 161,051.02 = 32,490.54 : x
  2. Step 2: Convert to fraction form
    107,388/161,051.02 = 32,490.54/x
  3. Step 3: Cross multiply
    107,388x = 161,051.02 × 32,490.54
  4. Step 4: Simplify right side
    107,388x = 5,232,634,526.12
  5. Step 5: Solve for x
    x = 5,232,634,526.12/107,388
  6. Step 6: Final answer
    x = 48,726.44

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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.