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Finding the Fourth Proportional to 40,071, 55,300.08 and 23,077.80

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Solution

The fourth proportional to 40,071, 55,300.08 and 23,077.80 is: 31,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,071 : 55,300.08 = 23,077.80 : x
  2. Step 2: Convert to fraction form
    40,071/55,300.08 = 23,077.80/x
  3. Step 3: Cross multiply
    40,071x = 55,300.08 × 23,077.80
  4. Step 4: Simplify right side
    40,071x = 1,276,204,186.22
  5. Step 5: Solve for x
    x = 1,276,204,186.22/40,071
  6. Step 6: Final answer
    x = 31,848.57

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1.5x scale

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.