Home / 31,689.50-47,547-11,973.69

Finding the Fourth Proportional to 31,689.50, 47,547 and 11,973.69

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Solution

The fourth proportional to 31,689.50, 47,547 and 11,973.69 is: 17,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,689.50 : 47,547 = 11,973.69 : x
  2. Step 2: Convert to fraction form
    31,689.50/47,547 = 11,973.69/x
  3. Step 3: Cross multiply
    31,689.50x = 47,547 × 11,973.69
  4. Step 4: Simplify right side
    31,689.50x = 569,313,038.43
  5. Step 5: Solve for x
    x = 569,313,038.43/31,689.50
  6. Step 6: Final answer
    x = 17,965.36

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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.