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Finding the Fourth Proportional to 61,119.80, 84,345.63 and 35,643.83

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Solution

The fourth proportional to 61,119.80, 84,345.63 and 35,643.83 is: 49,188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,119.80 : 84,345.63 = 35,643.83 : x
  2. Step 2: Convert to fraction form
    61,119.80/84,345.63 = 35,643.83/x
  3. Step 3: Cross multiply
    61,119.80x = 84,345.63 × 35,643.83
  4. Step 4: Simplify right side
    61,119.80x = 3,006,400,875.23
  5. Step 5: Solve for x
    x = 3,006,400,875.23/61,119.80
  6. Step 6: Final answer
    x = 49,188.66

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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.