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Finding the Fourth Proportional to 46,698.10, 64,424.94 and 28,762

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Solution

The fourth proportional to 46,698.10, 64,424.94 and 28,762 is: 39,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,698.10 : 64,424.94 = 28,762 : x
  2. Step 2: Convert to fraction form
    46,698.10/64,424.94 = 28,762/x
  3. Step 3: Cross multiply
    46,698.10x = 64,424.94 × 28,762
  4. Step 4: Simplify right side
    46,698.10x = 1,852,990,124.28
  5. Step 5: Solve for x
    x = 1,852,990,124.28/46,698.10
  6. Step 6: Final answer
    x = 39,680.20

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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.