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Finding the Fourth Proportional to 53,013.42, 73,128.02 and 31,780.35

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Solution

The fourth proportional to 53,013.42, 73,128.02 and 31,780.35 is: 43,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,013.42 : 73,128.02 = 31,780.35 : x
  2. Step 2: Convert to fraction form
    53,013.42/73,128.02 = 31,780.35/x
  3. Step 3: Cross multiply
    53,013.42x = 73,128.02 × 31,780.35
  4. Step 4: Simplify right side
    53,013.42x = 2,324,033,911.51
  5. Step 5: Solve for x
    x = 2,324,033,911.51/53,013.42
  6. Step 6: Final answer
    x = 43,838.60

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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.