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Finding the Fourth Proportional to 98,083, 147,124.86 and 24,211

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Solution

The fourth proportional to 98,083, 147,124.86 and 24,211 is: 36,316.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,083 : 147,124.86 = 24,211 : x
  2. Step 2: Convert to fraction form
    98,083/147,124.86 = 24,211/x
  3. Step 3: Cross multiply
    98,083x = 147,124.86 × 24,211
  4. Step 4: Simplify right side
    98,083x = 3,562,039,985.46
  5. Step 5: Solve for x
    x = 3,562,039,985.46/98,083
  6. Step 6: Final answer
    x = 36,316.59

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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.