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Finding the Fourth Proportional to 30,767.84, 46,129.18 and 12,031.53

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Solution

The fourth proportional to 30,767.84, 46,129.18 and 12,031.53 is: 18,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,767.84 : 46,129.18 = 12,031.53 : x
  2. Step 2: Convert to fraction form
    30,767.84/46,129.18 = 12,031.53/x
  3. Step 3: Cross multiply
    30,767.84x = 46,129.18 × 12,031.53
  4. Step 4: Simplify right side
    30,767.84x = 555,004,613.05
  5. Step 5: Solve for x
    x = 555,004,613.05/30,767.84
  6. Step 6: Final answer
    x = 18,038.47

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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.