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Finding the Fourth Proportional to 37,030.50, 51,102.10 and 20,263.50

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Solution

The fourth proportional to 37,030.50, 51,102.10 and 20,263.50 is: 27,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,030.50 : 51,102.10 = 20,263.50 : x
  2. Step 2: Convert to fraction form
    37,030.50/51,102.10 = 20,263.50/x
  3. Step 3: Cross multiply
    37,030.50x = 51,102.10 × 20,263.50
  4. Step 4: Simplify right side
    37,030.50x = 1,035,507,403.35
  5. Step 5: Solve for x
    x = 1,035,507,403.35/37,030.50
  6. Step 6: Final answer
    x = 27,963.64

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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.