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Finding the Fourth Proportional to 90,307, 135,460.50 and 24,643

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Solution

The fourth proportional to 90,307, 135,460.50 and 24,643 is: 36,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,307 : 135,460.50 = 24,643 : x
  2. Step 2: Convert to fraction form
    90,307/135,460.50 = 24,643/x
  3. Step 3: Cross multiply
    90,307x = 135,460.50 × 24,643
  4. Step 4: Simplify right side
    90,307x = 3,338,153,101.50
  5. Step 5: Solve for x
    x = 3,338,153,101.50/90,307
  6. Step 6: Final answer
    x = 36,964.50

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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.