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Finding the Fourth Proportional to 29,381.76, 44,046 and 10,657.44

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Solution

The fourth proportional to 29,381.76, 44,046 and 10,657.44 is: 15,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,381.76 : 44,046 = 10,657.44 : x
  2. Step 2: Convert to fraction form
    29,381.76/44,046 = 10,657.44/x
  3. Step 3: Cross multiply
    29,381.76x = 44,046 × 10,657.44
  4. Step 4: Simplify right side
    29,381.76x = 469,417,602.24
  5. Step 5: Solve for x
    x = 469,417,602.24/29,381.76
  6. Step 6: Final answer
    x = 15,976.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.