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Finding the Fourth Proportional to 23,051, 31,812.60 and 15,097.52

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Solution

The fourth proportional to 23,051, 31,812.60 and 15,097.52 is: 20,836.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,051 : 31,812.60 = 15,097.52 : x
  2. Step 2: Convert to fraction form
    23,051/31,812.60 = 15,097.52/x
  3. Step 3: Cross multiply
    23,051x = 31,812.60 × 15,097.52
  4. Step 4: Simplify right side
    23,051x = 480,291,364.75
  5. Step 5: Solve for x
    x = 480,291,364.75/23,051
  6. Step 6: Final answer
    x = 20,836.03

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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.