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Finding the Fourth Proportional to 51,093.34, 70,510.43 and 31,966.99

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Solution

The fourth proportional to 51,093.34, 70,510.43 and 31,966.99 is: 44,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,093.34 : 70,510.43 = 31,966.99 : x
  2. Step 2: Convert to fraction form
    51,093.34/70,510.43 = 31,966.99/x
  3. Step 3: Cross multiply
    51,093.34x = 70,510.43 × 31,966.99
  4. Step 4: Simplify right side
    51,093.34x = 2,254,006,114.35
  5. Step 5: Solve for x
    x = 2,254,006,114.35/51,093.34
  6. Step 6: Final answer
    x = 44,115.46

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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.