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Finding the Fourth Proportional to 39,598.08, 54,646.24 and 22,602

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Solution

The fourth proportional to 39,598.08, 54,646.24 and 22,602 is: 31,191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,598.08 : 54,646.24 = 22,602 : x
  2. Step 2: Convert to fraction form
    39,598.08/54,646.24 = 22,602/x
  3. Step 3: Cross multiply
    39,598.08x = 54,646.24 × 22,602
  4. Step 4: Simplify right side
    39,598.08x = 1,235,114,316.48
  5. Step 5: Solve for x
    x = 1,235,114,316.48/39,598.08
  6. Step 6: Final answer
    x = 31,191.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.