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Finding the Fourth Proportional to 38,924.64, 53,697.36 and 37,415.76

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Solution

The fourth proportional to 38,924.64, 53,697.36 and 37,415.76 is: 51,615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,924.64 : 53,697.36 = 37,415.76 : x
  2. Step 2: Convert to fraction form
    38,924.64/53,697.36 = 37,415.76/x
  3. Step 3: Cross multiply
    38,924.64x = 53,697.36 × 37,415.76
  4. Step 4: Simplify right side
    38,924.64x = 2,009,127,534.39
  5. Step 5: Solve for x
    x = 2,009,127,534.39/38,924.64
  6. Step 6: Final answer
    x = 51,615.83

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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.