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Finding the Fourth Proportional to 31,165.65, 46,748.47 and 7,792.09

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Solution

The fourth proportional to 31,165.65, 46,748.47 and 7,792.09 is: 11,688.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,165.65 : 46,748.47 = 7,792.09 : x
  2. Step 2: Convert to fraction form
    31,165.65/46,748.47 = 7,792.09/x
  3. Step 3: Cross multiply
    31,165.65x = 46,748.47 × 7,792.09
  4. Step 4: Simplify right side
    31,165.65x = 364,268,109.08
  5. Step 5: Solve for x
    x = 364,268,109.08/31,165.65
  6. Step 6: Final answer
    x = 11,688.13

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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.