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Finding the Fourth Proportional to 65,526, 98,289.68 and 16,278

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Solution

The fourth proportional to 65,526, 98,289.68 and 16,278 is: 24,417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,526 : 98,289.68 = 16,278 : x
  2. Step 2: Convert to fraction form
    65,526/98,289.68 = 16,278/x
  3. Step 3: Cross multiply
    65,526x = 98,289.68 × 16,278
  4. Step 4: Simplify right side
    65,526x = 1,599,959,411.04
  5. Step 5: Solve for x
    x = 1,599,959,411.04/65,526
  6. Step 6: Final answer
    x = 24,417.17

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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.