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Finding the Fourth Proportional to 55,951, 77,212.38 and 32,085.57

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Solution

The fourth proportional to 55,951, 77,212.38 and 32,085.57 is: 44,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,951 : 77,212.38 = 32,085.57 : x
  2. Step 2: Convert to fraction form
    55,951/77,212.38 = 32,085.57/x
  3. Step 3: Cross multiply
    55,951x = 77,212.38 × 32,085.57
  4. Step 4: Simplify right side
    55,951x = 2,477,402,837.29
  5. Step 5: Solve for x
    x = 2,477,402,837.29/55,951
  6. Step 6: Final answer
    x = 44,278.08

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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.