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Finding the Fourth Proportional to 38,468, 53,085.84 and 21,700.64

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Solution

The fourth proportional to 38,468, 53,085.84 and 21,700.64 is: 29,946.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,468 : 53,085.84 = 21,700.64 : x
  2. Step 2: Convert to fraction form
    38,468/53,085.84 = 21,700.64/x
  3. Step 3: Cross multiply
    38,468x = 53,085.84 × 21,700.64
  4. Step 4: Simplify right side
    38,468x = 1,151,996,702.94
  5. Step 5: Solve for x
    x = 1,151,996,702.94/38,468
  6. Step 6: Final answer
    x = 29,946.88

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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.