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Finding the Fourth Proportional to 97,849.98, 135,033.51 and 57,565.26

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Solution

The fourth proportional to 97,849.98, 135,033.51 and 57,565.26 is: 79,440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,849.98 : 135,033.51 = 57,565.26 : x
  2. Step 2: Convert to fraction form
    97,849.98/135,033.51 = 57,565.26/x
  3. Step 3: Cross multiply
    97,849.98x = 135,033.51 × 57,565.26
  4. Step 4: Simplify right side
    97,849.98x = 7,773,239,111.86
  5. Step 5: Solve for x
    x = 7,773,239,111.86/97,849.98
  6. Step 6: Final answer
    x = 79,440.38

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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.