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Finding the Fourth Proportional to 48,821, 67,373.16 and 26,465

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Solution

The fourth proportional to 48,821, 67,373.16 and 26,465 is: 36,521.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,821 : 67,373.16 = 26,465 : x
  2. Step 2: Convert to fraction form
    48,821/67,373.16 = 26,465/x
  3. Step 3: Cross multiply
    48,821x = 67,373.16 × 26,465
  4. Step 4: Simplify right side
    48,821x = 1,783,030,679.40
  5. Step 5: Solve for x
    x = 1,783,030,679.40/48,821
  6. Step 6: Final answer
    x = 36,521.80

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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.