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Finding the Fourth Proportional to 47,469.08, 65,509.08 and 30,702.08

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Solution

The fourth proportional to 47,469.08, 65,509.08 and 30,702.08 is: 42,370.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,469.08 : 65,509.08 = 30,702.08 : x
  2. Step 2: Convert to fraction form
    47,469.08/65,509.08 = 30,702.08/x
  3. Step 3: Cross multiply
    47,469.08x = 65,509.08 × 30,702.08
  4. Step 4: Simplify right side
    47,469.08x = 2,011,265,014.89
  5. Step 5: Solve for x
    x = 2,011,265,014.89/47,469.08
  6. Step 6: Final answer
    x = 42,370.00

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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.