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Finding the Fourth Proportional to 30,717.96, 46,047.74 and 12,010

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Solution

The fourth proportional to 30,717.96, 46,047.74 and 12,010 is: 18,003.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,717.96 : 46,047.74 = 12,010 : x
  2. Step 2: Convert to fraction form
    30,717.96/46,047.74 = 12,010/x
  3. Step 3: Cross multiply
    30,717.96x = 46,047.74 × 12,010
  4. Step 4: Simplify right side
    30,717.96x = 553,033,357.40
  5. Step 5: Solve for x
    x = 553,033,357.40/30,717.96
  6. Step 6: Final answer
    x = 18,003.58

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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.