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Finding the Fourth Proportional to 33,648.16, 46,098.15 and 32,386.99

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Solution

The fourth proportional to 33,648.16, 46,098.15 and 32,386.99 is: 44,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,648.16 : 46,098.15 = 32,386.99 : x
  2. Step 2: Convert to fraction form
    33,648.16/46,098.15 = 32,386.99/x
  3. Step 3: Cross multiply
    33,648.16x = 46,098.15 × 32,386.99
  4. Step 4: Simplify right side
    33,648.16x = 1,492,980,323.07
  5. Step 5: Solve for x
    x = 1,492,980,323.07/33,648.16
  6. Step 6: Final answer
    x = 44,370.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.