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Finding the Fourth Proportional to 31,328.34, 46,963.71 and 13,547.88

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Solution

The fourth proportional to 31,328.34, 46,963.71 and 13,547.88 is: 20,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,328.34 : 46,963.71 = 13,547.88 : x
  2. Step 2: Convert to fraction form
    31,328.34/46,963.71 = 13,547.88/x
  3. Step 3: Cross multiply
    31,328.34x = 46,963.71 × 13,547.88
  4. Step 4: Simplify right side
    31,328.34x = 636,258,707.43
  5. Step 5: Solve for x
    x = 636,258,707.43/31,328.34
  6. Step 6: Final answer
    x = 20,309.37

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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.