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Finding the Fourth Proportional to 65,528, 98,292.68 and 16,280

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Solution

The fourth proportional to 65,528, 98,292.68 and 16,280 is: 24,420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,528 : 98,292.68 = 16,280 : x
  2. Step 2: Convert to fraction form
    65,528/98,292.68 = 16,280/x
  3. Step 3: Cross multiply
    65,528x = 98,292.68 × 16,280
  4. Step 4: Simplify right side
    65,528x = 1,600,204,830.40
  5. Step 5: Solve for x
    x = 1,600,204,830.40/65,528
  6. Step 6: Final answer
    x = 24,420.17

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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.