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Finding the Fourth Proportional to 90,249, 135,373.50 and 24,585

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Solution

The fourth proportional to 90,249, 135,373.50 and 24,585 is: 36,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,249 : 135,373.50 = 24,585 : x
  2. Step 2: Convert to fraction form
    90,249/135,373.50 = 24,585/x
  3. Step 3: Cross multiply
    90,249x = 135,373.50 × 24,585
  4. Step 4: Simplify right side
    90,249x = 3,328,157,497.50
  5. Step 5: Solve for x
    x = 3,328,157,497.50/90,249
  6. Step 6: Final answer
    x = 36,877.50

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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.