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Finding the Fourth Proportional to 31,345.56, 46,987.68 and 11,349

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Solution

The fourth proportional to 31,345.56, 46,987.68 and 11,349 is: 17,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,345.56 : 46,987.68 = 11,349 : x
  2. Step 2: Convert to fraction form
    31,345.56/46,987.68 = 11,349/x
  3. Step 3: Cross multiply
    31,345.56x = 46,987.68 × 11,349
  4. Step 4: Simplify right side
    31,345.56x = 533,263,180.32
  5. Step 5: Solve for x
    x = 533,263,180.32/31,345.56
  6. Step 6: Final answer
    x = 17,012.40

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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.