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Finding the Fourth Proportional to 65,416.40, 98,124.60 and 37,768.40

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Solution

The fourth proportional to 65,416.40, 98,124.60 and 37,768.40 is: 56,652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,416.40 : 98,124.60 = 37,768.40 : x
  2. Step 2: Convert to fraction form
    65,416.40/98,124.60 = 37,768.40/x
  3. Step 3: Cross multiply
    65,416.40x = 98,124.60 × 37,768.40
  4. Step 4: Simplify right side
    65,416.40x = 3,706,009,142.64
  5. Step 5: Solve for x
    x = 3,706,009,142.64/65,416.40
  6. Step 6: Final answer
    x = 56,652.60

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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.