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Finding the Fourth Proportional to 53,434.72, 73,740.24 and 31,078.72

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Solution

The fourth proportional to 53,434.72, 73,740.24 and 31,078.72 is: 42,888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,434.72 : 73,740.24 = 31,078.72 : x
  2. Step 2: Convert to fraction form
    53,434.72/73,740.24 = 31,078.72/x
  3. Step 3: Cross multiply
    53,434.72x = 73,740.24 × 31,078.72
  4. Step 4: Simplify right side
    53,434.72x = 2,291,752,271.69
  5. Step 5: Solve for x
    x = 2,291,752,271.69/53,434.72
  6. Step 6: Final answer
    x = 42,888.82

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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.