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Finding the Fourth Proportional to 38,501.76, 53,133.30 and 22,597.68

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Solution

The fourth proportional to 38,501.76, 53,133.30 and 22,597.68 is: 31,185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,501.76 : 53,133.30 = 22,597.68 : x
  2. Step 2: Convert to fraction form
    38,501.76/53,133.30 = 22,597.68/x
  3. Step 3: Cross multiply
    38,501.76x = 53,133.30 × 22,597.68
  4. Step 4: Simplify right side
    38,501.76x = 1,200,689,310.74
  5. Step 5: Solve for x
    x = 1,200,689,310.74/38,501.76
  6. Step 6: Final answer
    x = 31,185.31

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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.