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Finding the Fourth Proportional to 30,488.08, 45,702.96 and 9,698.08

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Solution

The fourth proportional to 30,488.08, 45,702.96 and 9,698.08 is: 14,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,488.08 : 45,702.96 = 9,698.08 : x
  2. Step 2: Convert to fraction form
    30,488.08/45,702.96 = 9,698.08/x
  3. Step 3: Cross multiply
    30,488.08x = 45,702.96 × 9,698.08
  4. Step 4: Simplify right side
    30,488.08x = 443,230,962.32
  5. Step 5: Solve for x
    x = 443,230,962.32/30,488.08
  6. Step 6: Final answer
    x = 14,537.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.