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Finding the Fourth Proportional to 47,337.64, 65,297 and 30,336.16

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Solution

The fourth proportional to 47,337.64, 65,297 and 30,336.16 is: 41,845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,337.64 : 65,297 = 30,336.16 : x
  2. Step 2: Convert to fraction form
    47,337.64/65,297 = 30,336.16/x
  3. Step 3: Cross multiply
    47,337.64x = 65,297 × 30,336.16
  4. Step 4: Simplify right side
    47,337.64x = 1,980,860,239.52
  5. Step 5: Solve for x
    x = 1,980,860,239.52/47,337.64
  6. Step 6: Final answer
    x = 41,845.35

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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.