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Finding the Fourth Proportional to 55,876.88, 77,106.66 and 31,998.08

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Solution

The fourth proportional to 55,876.88, 77,106.66 and 31,998.08 is: 44,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,876.88 : 77,106.66 = 31,998.08 : x
  2. Step 2: Convert to fraction form
    55,876.88/77,106.66 = 31,998.08/x
  3. Step 3: Cross multiply
    55,876.88x = 77,106.66 × 31,998.08
  4. Step 4: Simplify right side
    55,876.88x = 2,467,265,075.21
  5. Step 5: Solve for x
    x = 2,467,265,075.21/55,876.88
  6. Step 6: Final answer
    x = 44,155.38

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1.5x scale

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.