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Finding the Fourth Proportional to 61,780.86, 92,643.75 and 19,653.03

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Solution

The fourth proportional to 61,780.86, 92,643.75 and 19,653.03 is: 29,470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,780.86 : 92,643.75 = 19,653.03 : x
  2. Step 2: Convert to fraction form
    61,780.86/92,643.75 = 19,653.03/x
  3. Step 3: Cross multiply
    61,780.86x = 92,643.75 × 19,653.03
  4. Step 4: Simplify right side
    61,780.86x = 1,820,730,398.06
  5. Step 5: Solve for x
    x = 1,820,730,398.06/61,780.86
  6. Step 6: Final answer
    x = 29,470.78

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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.