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Finding the Fourth Proportional to 33,689.34, 46,495.58 and 28,014.32

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Solution

The fourth proportional to 33,689.34, 46,495.58 and 28,014.32 is: 38,663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,689.34 : 46,495.58 = 28,014.32 : x
  2. Step 2: Convert to fraction form
    33,689.34/46,495.58 = 28,014.32/x
  3. Step 3: Cross multiply
    33,689.34x = 46,495.58 × 28,014.32
  4. Step 4: Simplify right side
    33,689.34x = 1,302,541,684.16
  5. Step 5: Solve for x
    x = 1,302,541,684.16/33,689.34
  6. Step 6: Final answer
    x = 38,663.32

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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.