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Finding the Fourth Proportional to 27,070.80, 37,214.10 and 23,280.08

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Solution

The fourth proportional to 27,070.80, 37,214.10 and 23,280.08 is: 32,003.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,070.80 : 37,214.10 = 23,280.08 : x
  2. Step 2: Convert to fraction form
    27,070.80/37,214.10 = 23,280.08/x
  3. Step 3: Cross multiply
    27,070.80x = 37,214.10 × 23,280.08
  4. Step 4: Simplify right side
    27,070.80x = 866,347,225.13
  5. Step 5: Solve for x
    x = 866,347,225.13/27,070.80
  6. Step 6: Final answer
    x = 32,003.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.