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Finding the Fourth Proportional to 53,784.58, 74,221.71 and 29,910.71

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Solution

The fourth proportional to 53,784.58, 74,221.71 and 29,910.71 is: 41,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,784.58 : 74,221.71 = 29,910.71 : x
  2. Step 2: Convert to fraction form
    53,784.58/74,221.71 = 29,910.71/x
  3. Step 3: Cross multiply
    53,784.58x = 74,221.71 × 29,910.71
  4. Step 4: Simplify right side
    53,784.58x = 2,220,024,043.51
  5. Step 5: Solve for x
    x = 2,220,024,043.51/53,784.58
  6. Step 6: Final answer
    x = 41,276.22

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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.