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Finding the Fourth Proportional to 34,317.81, 51,460.25 and 14,585.67

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Solution

The fourth proportional to 34,317.81, 51,460.25 and 14,585.67 is: 21,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,317.81 : 51,460.25 = 14,585.67 : x
  2. Step 2: Convert to fraction form
    34,317.81/51,460.25 = 14,585.67/x
  3. Step 3: Cross multiply
    34,317.81x = 51,460.25 × 14,585.67
  4. Step 4: Simplify right side
    34,317.81x = 750,582,151.69
  5. Step 5: Solve for x
    x = 750,582,151.69/34,317.81
  6. Step 6: Final answer
    x = 21,871.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.