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Finding the Fourth Proportional to 47,684.98, 65,795.52 and 26,459.74

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Solution

The fourth proportional to 47,684.98, 65,795.52 and 26,459.74 is: 36,509.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,684.98 : 65,795.52 = 26,459.74 : x
  2. Step 2: Convert to fraction form
    47,684.98/65,795.52 = 26,459.74/x
  3. Step 3: Cross multiply
    47,684.98x = 65,795.52 × 26,459.74
  4. Step 4: Simplify right side
    47,684.98x = 1,740,932,352.36
  5. Step 5: Solve for x
    x = 1,740,932,352.36/47,684.98
  6. Step 6: Final answer
    x = 36,509.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.