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Finding the Fourth Proportional to 53,101.83, 73,281.05 and 29,229

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Solution

The fourth proportional to 53,101.83, 73,281.05 and 29,229 is: 40,336.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,101.83 : 73,281.05 = 29,229 : x
  2. Step 2: Convert to fraction form
    53,101.83/73,281.05 = 29,229/x
  3. Step 3: Cross multiply
    53,101.83x = 73,281.05 × 29,229
  4. Step 4: Simplify right side
    53,101.83x = 2,141,931,664.31
  5. Step 5: Solve for x
    x = 2,141,931,664.31/53,101.83
  6. Step 6: Final answer
    x = 40,336.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.