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Finding the Fourth Proportional to 46,811.10, 70,202.06 and 15,639.06

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Solution

The fourth proportional to 46,811.10, 70,202.06 and 15,639.06 is: 23,453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,811.10 : 70,202.06 = 15,639.06 : x
  2. Step 2: Convert to fraction form
    46,811.10/70,202.06 = 15,639.06/x
  3. Step 3: Cross multiply
    46,811.10x = 70,202.06 × 15,639.06
  4. Step 4: Simplify right side
    46,811.10x = 1,097,894,228.46
  5. Step 5: Solve for x
    x = 1,097,894,228.46/46,811.10
  6. Step 6: Final answer
    x = 23,453.72

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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.