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Finding the Fourth Proportional to 53,706.90, 74,124.48 and 31,041.96

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Solution

The fourth proportional to 53,706.90, 74,124.48 and 31,041.96 is: 42,843.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,706.90 : 74,124.48 = 31,041.96 : x
  2. Step 2: Convert to fraction form
    53,706.90/74,124.48 = 31,041.96/x
  3. Step 3: Cross multiply
    53,706.90x = 74,124.48 × 31,041.96
  4. Step 4: Simplify right side
    53,706.90x = 2,300,969,143.18
  5. Step 5: Solve for x
    x = 2,300,969,143.18/53,706.90
  6. Step 6: Final answer
    x = 42,843.08

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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.