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Finding the Fourth Proportional to 51,258, 70,719.40 and 32,154.54

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Solution

The fourth proportional to 51,258, 70,719.40 and 32,154.54 is: 44,362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,258 : 70,719.40 = 32,154.54 : x
  2. Step 2: Convert to fraction form
    51,258/70,719.40 = 32,154.54/x
  3. Step 3: Cross multiply
    51,258x = 70,719.40 × 32,154.54
  4. Step 4: Simplify right side
    51,258x = 2,273,949,776.08
  5. Step 5: Solve for x
    x = 2,273,949,776.08/51,258
  6. Step 6: Final answer
    x = 44,362.83

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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.