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Finding the Fourth Proportional to 30,613.86, 45,916.47 and 9,549

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Solution

The fourth proportional to 30,613.86, 45,916.47 and 9,549 is: 14,322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,613.86 : 45,916.47 = 9,549 : x
  2. Step 2: Convert to fraction form
    30,613.86/45,916.47 = 9,549/x
  3. Step 3: Cross multiply
    30,613.86x = 45,916.47 × 9,549
  4. Step 4: Simplify right side
    30,613.86x = 438,456,372.03
  5. Step 5: Solve for x
    x = 438,456,372.03/30,613.86
  6. Step 6: Final answer
    x = 14,322.15

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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.