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Finding the Fourth Proportional to 55,873.51, 77,098.98 and 31,998.76

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Solution

The fourth proportional to 55,873.51, 77,098.98 and 31,998.76 is: 44,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,873.51 : 77,098.98 = 31,998.76 : x
  2. Step 2: Convert to fraction form
    55,873.51/77,098.98 = 31,998.76/x
  3. Step 3: Cross multiply
    55,873.51x = 77,098.98 × 31,998.76
  4. Step 4: Simplify right side
    55,873.51x = 2,467,071,757.26
  5. Step 5: Solve for x
    x = 2,467,071,757.26/55,873.51
  6. Step 6: Final answer
    x = 44,154.59

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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.