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Finding the Fourth Proportional to 76,416.40, 114,624.60 and 59,827.60

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Solution

The fourth proportional to 76,416.40, 114,624.60 and 59,827.60 is: 89,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,416.40 : 114,624.60 = 59,827.60 : x
  2. Step 2: Convert to fraction form
    76,416.40/114,624.60 = 59,827.60/x
  3. Step 3: Cross multiply
    76,416.40x = 114,624.60 × 59,827.60
  4. Step 4: Simplify right side
    76,416.40x = 6,857,714,718.96
  5. Step 5: Solve for x
    x = 6,857,714,718.96/76,416.40
  6. Step 6: Final answer
    x = 89,741.40

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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.