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Finding the Fourth Proportional to 47,702.86, 65,825.06 and 27,566.26

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Solution

The fourth proportional to 47,702.86, 65,825.06 and 27,566.26 is: 38,038.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,702.86 : 65,825.06 = 27,566.26 : x
  2. Step 2: Convert to fraction form
    47,702.86/65,825.06 = 27,566.26/x
  3. Step 3: Cross multiply
    47,702.86x = 65,825.06 × 27,566.26
  4. Step 4: Simplify right side
    47,702.86x = 1,814,550,416.08
  5. Step 5: Solve for x
    x = 1,814,550,416.08/47,702.86
  6. Step 6: Final answer
    x = 38,038.61

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1.5x scale

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.