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Finding the Fourth Proportional to 60,314, 83,233.32 and 35,158.64

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Solution

The fourth proportional to 60,314, 83,233.32 and 35,158.64 is: 48,518.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,314 : 83,233.32 = 35,158.64 : x
  2. Step 2: Convert to fraction form
    60,314/83,233.32 = 35,158.64/x
  3. Step 3: Cross multiply
    60,314x = 83,233.32 × 35,158.64
  4. Step 4: Simplify right side
    60,314x = 2,926,370,333.88
  5. Step 5: Solve for x
    x = 2,926,370,333.88/60,314
  6. Step 6: Final answer
    x = 48,518.92

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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.