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Finding the Fourth Proportional to 97,114.34, 145,673.40 and 26,992.64

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Solution

The fourth proportional to 97,114.34, 145,673.40 and 26,992.64 is: 40,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,114.34 : 145,673.40 = 26,992.64 : x
  2. Step 2: Convert to fraction form
    97,114.34/145,673.40 = 26,992.64/x
  3. Step 3: Cross multiply
    97,114.34x = 145,673.40 × 26,992.64
  4. Step 4: Simplify right side
    97,114.34x = 3,932,109,643.78
  5. Step 5: Solve for x
    x = 3,932,109,643.78/97,114.34
  6. Step 6: Final answer
    x = 40,489.49

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Why These Related Problems?

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