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Finding the Fourth Proportional to 106,475.70, 159,713.55 and 31,607.40

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Solution

The fourth proportional to 106,475.70, 159,713.55 and 31,607.40 is: 47,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,475.70 : 159,713.55 = 31,607.40 : x
  2. Step 2: Convert to fraction form
    106,475.70/159,713.55 = 31,607.40/x
  3. Step 3: Cross multiply
    106,475.70x = 159,713.55 × 31,607.40
  4. Step 4: Simplify right side
    106,475.70x = 5,048,130,060.27
  5. Step 5: Solve for x
    x = 5,048,130,060.27/106,475.70
  6. Step 6: Final answer
    x = 47,411.10

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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.