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Finding the Fourth Proportional to 67,996.99, 101,967.80 and 30,547

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Solution

The fourth proportional to 67,996.99, 101,967.80 and 30,547 is: 45,808.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,996.99 : 101,967.80 = 30,547 : x
  2. Step 2: Convert to fraction form
    67,996.99/101,967.80 = 30,547/x
  3. Step 3: Cross multiply
    67,996.99x = 101,967.80 × 30,547
  4. Step 4: Simplify right side
    67,996.99x = 3,114,810,386.60
  5. Step 5: Solve for x
    x = 3,114,810,386.60/67,996.99
  6. Step 6: Final answer
    x = 45,808.06

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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.