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Finding the Fourth Proportional to 96,417, 144,628.06 and 30,753

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Solution

The fourth proportional to 96,417, 144,628.06 and 30,753 is: 46,130.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,417 : 144,628.06 = 30,753 : x
  2. Step 2: Convert to fraction form
    96,417/144,628.06 = 30,753/x
  3. Step 3: Cross multiply
    96,417x = 144,628.06 × 30,753
  4. Step 4: Simplify right side
    96,417x = 4,447,746,729.18
  5. Step 5: Solve for x
    x = 4,447,746,729.18/96,417
  6. Step 6: Final answer
    x = 46,130.32

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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.