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Finding the Fourth Proportional to 102,424, 153,636 and 24,600

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Solution

The fourth proportional to 102,424, 153,636 and 24,600 is: 36,900

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,424 : 153,636 = 24,600 : x
  2. Step 2: Convert to fraction form
    102,424/153,636 = 24,600/x
  3. Step 3: Cross multiply
    102,424x = 153,636 × 24,600
  4. Step 4: Simplify right side
    102,424x = 3,779,445,600
  5. Step 5: Solve for x
    x = 3,779,445,600/102,424
  6. Step 6: Final answer
    x = 36,900

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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.