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Finding the Fourth Proportional to 46,838.68, 70,261.68 and 13,559.24

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Solution

The fourth proportional to 46,838.68, 70,261.68 and 13,559.24 is: 20,339.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,838.68 : 70,261.68 = 13,559.24 : x
  2. Step 2: Convert to fraction form
    46,838.68/70,261.68 = 13,559.24/x
  3. Step 3: Cross multiply
    46,838.68x = 70,261.68 × 13,559.24
  4. Step 4: Simplify right side
    46,838.68x = 952,694,981.92
  5. Step 5: Solve for x
    x = 952,694,981.92/46,838.68
  6. Step 6: Final answer
    x = 20,339.92

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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.