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Finding the Fourth Proportional to 60,148, 83,004.24 and 35,014.24

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Solution

The fourth proportional to 60,148, 83,004.24 and 35,014.24 is: 48,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,148 : 83,004.24 = 35,014.24 : x
  2. Step 2: Convert to fraction form
    60,148/83,004.24 = 35,014.24/x
  3. Step 3: Cross multiply
    60,148x = 83,004.24 × 35,014.24
  4. Step 4: Simplify right side
    60,148x = 2,906,330,380.38
  5. Step 5: Solve for x
    x = 2,906,330,380.38/60,148
  6. Step 6: Final answer
    x = 48,319.65

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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.