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Finding the Fourth Proportional to 56,329.68, 77,743.80 and 33,661.48

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Solution

The fourth proportional to 56,329.68, 77,743.80 and 33,661.48 is: 46,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,329.68 : 77,743.80 = 33,661.48 : x
  2. Step 2: Convert to fraction form
    56,329.68/77,743.80 = 33,661.48/x
  3. Step 3: Cross multiply
    56,329.68x = 77,743.80 × 33,661.48
  4. Step 4: Simplify right side
    56,329.68x = 2,616,971,368.82
  5. Step 5: Solve for x
    x = 2,616,971,368.82/56,329.68
  6. Step 6: Final answer
    x = 46,458.13

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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.