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Finding the Fourth Proportional to 46,823.98, 70,203.16 and 17,237.98

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Solution

The fourth proportional to 46,823.98, 70,203.16 and 17,237.98 is: 25,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,823.98 : 70,203.16 = 17,237.98 : x
  2. Step 2: Convert to fraction form
    46,823.98/70,203.16 = 17,237.98/x
  3. Step 3: Cross multiply
    46,823.98x = 70,203.16 × 17,237.98
  4. Step 4: Simplify right side
    46,823.98x = 1,210,160,668.02
  5. Step 5: Solve for x
    x = 1,210,160,668.02/46,823.98
  6. Step 6: Final answer
    x = 25,844.89

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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.