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Finding the Fourth Proportional to 106,457.59, 159,659.13 and 31,560.23

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Solution

The fourth proportional to 106,457.59, 159,659.13 and 31,560.23 is: 47,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,457.59 : 159,659.13 = 31,560.23 : x
  2. Step 2: Convert to fraction form
    106,457.59/159,659.13 = 31,560.23/x
  3. Step 3: Cross multiply
    106,457.59x = 159,659.13 × 31,560.23
  4. Step 4: Simplify right side
    106,457.59x = 5,038,879,381.90
  5. Step 5: Solve for x
    x = 5,038,879,381.90/106,457.59
  6. Step 6: Final answer
    x = 47,332.27

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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.