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Finding the Fourth Proportional to 46,808.70, 70,213.06 and 15,643.95

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Solution

The fourth proportional to 46,808.70, 70,213.06 and 15,643.95 is: 23,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,808.70 : 70,213.06 = 15,643.95 : x
  2. Step 2: Convert to fraction form
    46,808.70/70,213.06 = 15,643.95/x
  3. Step 3: Cross multiply
    46,808.70x = 70,213.06 × 15,643.95
  4. Step 4: Simplify right side
    46,808.70x = 1,098,409,824.18
  5. Step 5: Solve for x
    x = 1,098,409,824.18/46,808.70
  6. Step 6: Final answer
    x = 23,465.93

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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.