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Finding the Fourth Proportional to 53,802.96, 74,196 and 35,898.72

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Solution

The fourth proportional to 53,802.96, 74,196 and 35,898.72 is: 49,505.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,802.96 : 74,196 = 35,898.72 : x
  2. Step 2: Convert to fraction form
    53,802.96/74,196 = 35,898.72/x
  3. Step 3: Cross multiply
    53,802.96x = 74,196 × 35,898.72
  4. Step 4: Simplify right side
    53,802.96x = 2,663,541,429.12
  5. Step 5: Solve for x
    x = 2,663,541,429.12/53,802.96
  6. Step 6: Final answer
    x = 49,505.48

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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.