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Finding the Fourth Proportional to 121,101.48, 181,638.10 and 32,361.90

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Solution

The fourth proportional to 121,101.48, 181,638.10 and 32,361.90 is: 48,539.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,101.48 : 181,638.10 = 32,361.90 : x
  2. Step 2: Convert to fraction form
    121,101.48/181,638.10 = 32,361.90/x
  3. Step 3: Cross multiply
    121,101.48x = 181,638.10 × 32,361.90
  4. Step 4: Simplify right side
    121,101.48x = 5,878,154,738.24
  5. Step 5: Solve for x
    x = 5,878,154,738.24/121,101.48
  6. Step 6: Final answer
    x = 48,539.08

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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.