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Finding the Fourth Proportional to 55,646.16, 83,357.94 and 33,447.48

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Solution

The fourth proportional to 55,646.16, 83,357.94 and 33,447.48 is: 50,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,646.16 : 83,357.94 = 33,447.48 : x
  2. Step 2: Convert to fraction form
    55,646.16/83,357.94 = 33,447.48/x
  3. Step 3: Cross multiply
    55,646.16x = 83,357.94 × 33,447.48
  4. Step 4: Simplify right side
    55,646.16x = 2,788,113,030.99
  5. Step 5: Solve for x
    x = 2,788,113,030.99/55,646.16
  6. Step 6: Final answer
    x = 50,104.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.