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Finding the Fourth Proportional to 55,492.26, 76,570.38 and 31,619.40

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Solution

The fourth proportional to 55,492.26, 76,570.38 and 31,619.40 is: 43,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,492.26 : 76,570.38 = 31,619.40 : x
  2. Step 2: Convert to fraction form
    55,492.26/76,570.38 = 31,619.40/x
  3. Step 3: Cross multiply
    55,492.26x = 76,570.38 × 31,619.40
  4. Step 4: Simplify right side
    55,492.26x = 2,421,109,473.37
  5. Step 5: Solve for x
    x = 2,421,109,473.37/55,492.26
  6. Step 6: Final answer
    x = 43,629.68

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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.