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Finding the Fourth Proportional to 53,699.60, 74,097.21 and 31,034.21

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Solution

The fourth proportional to 53,699.60, 74,097.21 and 31,034.21 is: 42,822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,699.60 : 74,097.21 = 31,034.21 : x
  2. Step 2: Convert to fraction form
    53,699.60/74,097.21 = 31,034.21/x
  3. Step 3: Cross multiply
    53,699.60x = 74,097.21 × 31,034.21
  4. Step 4: Simplify right side
    53,699.60x = 2,299,548,483.21
  5. Step 5: Solve for x
    x = 2,299,548,483.21/53,699.60
  6. Step 6: Final answer
    x = 42,822.45

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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.