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Finding the Fourth Proportional to 53,688, 74,090.42 and 29,816.88

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Solution

The fourth proportional to 53,688, 74,090.42 and 29,816.88 is: 41,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,688 : 74,090.42 = 29,816.88 : x
  2. Step 2: Convert to fraction form
    53,688/74,090.42 = 29,816.88/x
  3. Step 3: Cross multiply
    53,688x = 74,090.42 × 29,816.88
  4. Step 4: Simplify right side
    53,688x = 2,209,145,162.29
  5. Step 5: Solve for x
    x = 2,209,145,162.29/53,688
  6. Step 6: Final answer
    x = 41,147.84

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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.