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Finding the Fourth Proportional to 60,212.40, 83,090.76 and 32,988

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Solution

The fourth proportional to 60,212.40, 83,090.76 and 32,988 is: 45,522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,212.40 : 83,090.76 = 32,988 : x
  2. Step 2: Convert to fraction form
    60,212.40/83,090.76 = 32,988/x
  3. Step 3: Cross multiply
    60,212.40x = 83,090.76 × 32,988
  4. Step 4: Simplify right side
    60,212.40x = 2,740,997,990.88
  5. Step 5: Solve for x
    x = 2,740,997,990.88/60,212.40
  6. Step 6: Final answer
    x = 45,522.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.