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Finding the Fourth Proportional to 55,894.68, 77,166.54 and 37,057.32

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Solution

The fourth proportional to 55,894.68, 77,166.54 and 37,057.32 is: 51,160.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,894.68 : 77,166.54 = 37,057.32 : x
  2. Step 2: Convert to fraction form
    55,894.68/77,166.54 = 37,057.32/x
  3. Step 3: Cross multiply
    55,894.68x = 77,166.54 × 37,057.32
  4. Step 4: Simplify right side
    55,894.68x = 2,859,585,166.07
  5. Step 5: Solve for x
    x = 2,859,585,166.07/55,894.68
  6. Step 6: Final answer
    x = 51,160.24

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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.