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Finding the Fourth Proportional to 53,013.60, 73,120.68 and 34,132.68

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Solution

The fourth proportional to 53,013.60, 73,120.68 and 34,132.68 is: 47,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,013.60 : 73,120.68 = 34,132.68 : x
  2. Step 2: Convert to fraction form
    53,013.60/73,120.68 = 34,132.68/x
  3. Step 3: Cross multiply
    53,013.60x = 73,120.68 × 34,132.68
  4. Step 4: Simplify right side
    53,013.60x = 2,495,804,771.82
  5. Step 5: Solve for x
    x = 2,495,804,771.82/53,013.60
  6. Step 6: Final answer
    x = 47,078.58

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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.