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Finding the Fourth Proportional to 34,303.16, 51,454.14 and 9,342.80

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Solution

The fourth proportional to 34,303.16, 51,454.14 and 9,342.80 is: 14,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,303.16 : 51,454.14 = 9,342.80 : x
  2. Step 2: Convert to fraction form
    34,303.16/51,454.14 = 9,342.80/x
  3. Step 3: Cross multiply
    34,303.16x = 51,454.14 × 9,342.80
  4. Step 4: Simplify right side
    34,303.16x = 480,725,739.19
  5. Step 5: Solve for x
    x = 480,725,739.19/34,303.16
  6. Step 6: Final answer
    x = 14,014.04

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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.