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Finding the Fourth Proportional to 48,789, 67,328.84 and 26,433

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Solution

The fourth proportional to 48,789, 67,328.84 and 26,433 is: 36,477.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,789 : 67,328.84 = 26,433 : x
  2. Step 2: Convert to fraction form
    48,789/67,328.84 = 26,433/x
  3. Step 3: Cross multiply
    48,789x = 67,328.84 × 26,433
  4. Step 4: Simplify right side
    48,789x = 1,779,703,095.56
  5. Step 5: Solve for x
    x = 1,779,703,095.56/48,789
  6. Step 6: Final answer
    x = 36,477.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.