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Finding the Fourth Proportional to 72,205.80, 108,222.30 and 37,127.40

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Solution

The fourth proportional to 72,205.80, 108,222.30 and 37,127.40 is: 55,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,205.80 : 108,222.30 = 37,127.40 : x
  2. Step 2: Convert to fraction form
    72,205.80/108,222.30 = 37,127.40/x
  3. Step 3: Cross multiply
    72,205.80x = 108,222.30 × 37,127.40
  4. Step 4: Simplify right side
    72,205.80x = 4,018,012,621.02
  5. Step 5: Solve for x
    x = 4,018,012,621.02/72,205.80
  6. Step 6: Final answer
    x = 55,646.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.