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Finding the Fourth Proportional to 31,200.30, 46,800.45 and 9,014.40

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Solution

The fourth proportional to 31,200.30, 46,800.45 and 9,014.40 is: 13,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,200.30 : 46,800.45 = 9,014.40 : x
  2. Step 2: Convert to fraction form
    31,200.30/46,800.45 = 9,014.40/x
  3. Step 3: Cross multiply
    31,200.30x = 46,800.45 × 9,014.40
  4. Step 4: Simplify right side
    31,200.30x = 421,877,976.48
  5. Step 5: Solve for x
    x = 421,877,976.48/31,200.30
  6. Step 6: Final answer
    x = 13,521.60

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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.