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Finding the Fourth Proportional to 46,822, 70,240 and 17,237.56

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Solution

The fourth proportional to 46,822, 70,240 and 17,237.56 is: 25,858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,822 : 70,240 = 17,237.56 : x
  2. Step 2: Convert to fraction form
    46,822/70,240 = 17,237.56/x
  3. Step 3: Cross multiply
    46,822x = 70,240 × 17,237.56
  4. Step 4: Simplify right side
    46,822x = 1,210,766,214.40
  5. Step 5: Solve for x
    x = 1,210,766,214.40/46,822
  6. Step 6: Final answer
    x = 25,858.92

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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.