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Finding the Fourth Proportional to 30,714.19, 46,071.53 and 8,529.30

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Solution

The fourth proportional to 30,714.19, 46,071.53 and 8,529.30 is: 12,794.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714.19 : 46,071.53 = 8,529.30 : x
  2. Step 2: Convert to fraction form
    30,714.19/46,071.53 = 8,529.30/x
  3. Step 3: Cross multiply
    30,714.19x = 46,071.53 × 8,529.30
  4. Step 4: Simplify right side
    30,714.19x = 392,957,938.14
  5. Step 5: Solve for x
    x = 392,957,938.14/30,714.19
  6. Step 6: Final answer
    x = 12,794.02

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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.