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Finding the Fourth Proportional to 31,117.16, 46,681.71 and 17,069.50

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Solution

The fourth proportional to 31,117.16, 46,681.71 and 17,069.50 is: 25,607.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,117.16 : 46,681.71 = 17,069.50 : x
  2. Step 2: Convert to fraction form
    31,117.16/46,681.71 = 17,069.50/x
  3. Step 3: Cross multiply
    31,117.16x = 46,681.71 × 17,069.50
  4. Step 4: Simplify right side
    31,117.16x = 796,833,448.85
  5. Step 5: Solve for x
    x = 796,833,448.85/31,117.16
  6. Step 6: Final answer
    x = 25,607.52

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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.