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Finding the Fourth Proportional to 30,871.39, 46,307.10 and 7,497.67

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Solution

The fourth proportional to 30,871.39, 46,307.10 and 7,497.67 is: 11,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.39 : 46,307.10 = 7,497.67 : x
  2. Step 2: Convert to fraction form
    30,871.39/46,307.10 = 7,497.67/x
  3. Step 3: Cross multiply
    30,871.39x = 46,307.10 × 7,497.67
  4. Step 4: Simplify right side
    30,871.39x = 347,195,354.46
  5. Step 5: Solve for x
    x = 347,195,354.46/30,871.39
  6. Step 6: Final answer
    x = 11,246.51

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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.