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Finding the Fourth Proportional to 38,475, 53,098.74 and 21,711.24

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Solution

The fourth proportional to 38,475, 53,098.74 and 21,711.24 is: 29,963.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475 : 53,098.74 = 21,711.24 : x
  2. Step 2: Convert to fraction form
    38,475/53,098.74 = 21,711.24/x
  3. Step 3: Cross multiply
    38,475x = 53,098.74 × 21,711.24
  4. Step 4: Simplify right side
    38,475x = 1,152,839,487.84
  5. Step 5: Solve for x
    x = 1,152,839,487.84/38,475
  6. Step 6: Final answer
    x = 29,963.34

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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.