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Finding the Fourth Proportional to 38,415.60, 57,623.40 and 37,832.40

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Solution

The fourth proportional to 38,415.60, 57,623.40 and 37,832.40 is: 56,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,415.60 : 57,623.40 = 37,832.40 : x
  2. Step 2: Convert to fraction form
    38,415.60/57,623.40 = 37,832.40/x
  3. Step 3: Cross multiply
    38,415.60x = 57,623.40 × 37,832.40
  4. Step 4: Simplify right side
    38,415.60x = 2,180,031,518.16
  5. Step 5: Solve for x
    x = 2,180,031,518.16/38,415.60
  6. Step 6: Final answer
    x = 56,748.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.