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Finding the Fourth Proportional to 98,487, 147,730.68 and 24,615

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Solution

The fourth proportional to 98,487, 147,730.68 and 24,615 is: 36,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,487 : 147,730.68 = 24,615 : x
  2. Step 2: Convert to fraction form
    98,487/147,730.68 = 24,615/x
  3. Step 3: Cross multiply
    98,487x = 147,730.68 × 24,615
  4. Step 4: Simplify right side
    98,487x = 3,636,390,688.20
  5. Step 5: Solve for x
    x = 3,636,390,688.20/98,487
  6. Step 6: Final answer
    x = 36,922.54

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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.