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Finding the Fourth Proportional to 30,578.04, 45,866.88 and 9,801.48

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Solution

The fourth proportional to 30,578.04, 45,866.88 and 9,801.48 is: 14,702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.04 : 45,866.88 = 9,801.48 : x
  2. Step 2: Convert to fraction form
    30,578.04/45,866.88 = 9,801.48/x
  3. Step 3: Cross multiply
    30,578.04x = 45,866.88 × 9,801.48
  4. Step 4: Simplify right side
    30,578.04x = 449,563,306.98
  5. Step 5: Solve for x
    x = 449,563,306.98/30,578.04
  6. Step 6: Final answer
    x = 14,702.16

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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.