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Finding the Fourth Proportional to 49,575, 74,347.92 and 14,506.32

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Solution

The fourth proportional to 49,575, 74,347.92 and 14,506.32 is: 21,755.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,575 : 74,347.92 = 14,506.32 : x
  2. Step 2: Convert to fraction form
    49,575/74,347.92 = 14,506.32/x
  3. Step 3: Cross multiply
    49,575x = 74,347.92 × 14,506.32
  4. Step 4: Simplify right side
    49,575x = 1,078,514,718.85
  5. Step 5: Solve for x
    x = 1,078,514,718.85/49,575
  6. Step 6: Final answer
    x = 21,755.21

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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.