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Finding the Fourth Proportional to 35,653.48, 49,207.53 and 27,142

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Solution

The fourth proportional to 35,653.48, 49,207.53 and 27,142 is: 37,460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,653.48 : 49,207.53 = 27,142 : x
  2. Step 2: Convert to fraction form
    35,653.48/49,207.53 = 27,142/x
  3. Step 3: Cross multiply
    35,653.48x = 49,207.53 × 27,142
  4. Step 4: Simplify right side
    35,653.48x = 1,335,590,779.26
  5. Step 5: Solve for x
    x = 1,335,590,779.26/35,653.48
  6. Step 6: Final answer
    x = 37,460.32

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Why These Related Problems?

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