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Finding the Fourth Proportional to 31,224.64, 46,829.88 and 9,033.08

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Solution

The fourth proportional to 31,224.64, 46,829.88 and 9,033.08 is: 13,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,224.64 : 46,829.88 = 9,033.08 : x
  2. Step 2: Convert to fraction form
    31,224.64/46,829.88 = 9,033.08/x
  3. Step 3: Cross multiply
    31,224.64x = 46,829.88 × 9,033.08
  4. Step 4: Simplify right side
    31,224.64x = 423,018,052.43
  5. Step 5: Solve for x
    x = 423,018,052.43/31,224.64
  6. Step 6: Final answer
    x = 13,547.57

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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.