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Finding the Fourth Proportional to 30,946.66, 46,413 and 8,754.08

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Solution

The fourth proportional to 30,946.66, 46,413 and 8,754.08 is: 13,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,946.66 : 46,413 = 8,754.08 : x
  2. Step 2: Convert to fraction form
    30,946.66/46,413 = 8,754.08/x
  3. Step 3: Cross multiply
    30,946.66x = 46,413 × 8,754.08
  4. Step 4: Simplify right side
    30,946.66x = 406,302,882.98
  5. Step 5: Solve for x
    x = 406,302,882.98/30,946.66
  6. Step 6: Final answer
    x = 13,129.14

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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.