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Finding the Fourth Proportional to 98,218.77, 147,328.04 and 31,668.77

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Solution

The fourth proportional to 98,218.77, 147,328.04 and 31,668.77 is: 47,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,218.77 : 147,328.04 = 31,668.77 : x
  2. Step 2: Convert to fraction form
    98,218.77/147,328.04 = 31,668.77/x
  3. Step 3: Cross multiply
    98,218.77x = 147,328.04 × 31,668.77
  4. Step 4: Simplify right side
    98,218.77x = 4,665,696,918.33
  5. Step 5: Solve for x
    x = 4,665,696,918.33/98,218.77
  6. Step 6: Final answer
    x = 47,503.11

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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.