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Finding the Fourth Proportional to 30,483.60, 45,728.64 and 9,702.24

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Solution

The fourth proportional to 30,483.60, 45,728.64 and 9,702.24 is: 14,554.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,483.60 : 45,728.64 = 9,702.24 : x
  2. Step 2: Convert to fraction form
    30,483.60/45,728.64 = 9,702.24/x
  3. Step 3: Cross multiply
    30,483.60x = 45,728.64 × 9,702.24
  4. Step 4: Simplify right side
    30,483.60x = 443,670,240.15
  5. Step 5: Solve for x
    x = 443,670,240.15/30,483.60
  6. Step 6: Final answer
    x = 14,554.39

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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.