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Finding the Fourth Proportional to 53,675.40, 80,513.10 and 27,431.40

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Solution

The fourth proportional to 53,675.40, 80,513.10 and 27,431.40 is: 41,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,675.40 : 80,513.10 = 27,431.40 : x
  2. Step 2: Convert to fraction form
    53,675.40/80,513.10 = 27,431.40/x
  3. Step 3: Cross multiply
    53,675.40x = 80,513.10 × 27,431.40
  4. Step 4: Simplify right side
    53,675.40x = 2,208,587,051.34
  5. Step 5: Solve for x
    x = 2,208,587,051.34/53,675.40
  6. Step 6: Final answer
    x = 41,147.10

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1.5x scale

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.