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Finding the Fourth Proportional to 46,838.92, 70,262.06 and 13,559.50

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Solution

The fourth proportional to 46,838.92, 70,262.06 and 13,559.50 is: 20,340.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,838.92 : 70,262.06 = 13,559.50 : x
  2. Step 2: Convert to fraction form
    46,838.92/70,262.06 = 13,559.50/x
  3. Step 3: Cross multiply
    46,838.92x = 70,262.06 × 13,559.50
  4. Step 4: Simplify right side
    46,838.92x = 952,718,402.57
  5. Step 5: Solve for x
    x = 952,718,402.57/46,838.92
  6. Step 6: Final answer
    x = 20,340.32

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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.