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Finding the Fourth Proportional to 72,142.80, 108,214.20 and 47,259.60

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Solution

The fourth proportional to 72,142.80, 108,214.20 and 47,259.60 is: 70,889.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,142.80 : 108,214.20 = 47,259.60 : x
  2. Step 2: Convert to fraction form
    72,142.80/108,214.20 = 47,259.60/x
  3. Step 3: Cross multiply
    72,142.80x = 108,214.20 × 47,259.60
  4. Step 4: Simplify right side
    72,142.80x = 5,114,159,806.32
  5. Step 5: Solve for x
    x = 5,114,159,806.32/72,142.80
  6. Step 6: Final answer
    x = 70,889.40

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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.