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Finding the Fourth Proportional to 53,484.64, 73,828.24 and 31,128.64

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Solution

The fourth proportional to 53,484.64, 73,828.24 and 31,128.64 is: 42,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,484.64 : 73,828.24 = 31,128.64 : x
  2. Step 2: Convert to fraction form
    53,484.64/73,828.24 = 31,128.64/x
  3. Step 3: Cross multiply
    53,484.64x = 73,828.24 × 31,128.64
  4. Step 4: Simplify right side
    53,484.64x = 2,298,172,704.79
  5. Step 5: Solve for x
    x = 2,298,172,704.79/53,484.64
  6. Step 6: Final answer
    x = 42,968.84

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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.