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Finding the Fourth Proportional to 48,777, 67,312.26 and 26,421

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Solution

The fourth proportional to 48,777, 67,312.26 and 26,421 is: 36,460.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,777 : 67,312.26 = 26,421 : x
  2. Step 2: Convert to fraction form
    48,777/67,312.26 = 26,421/x
  3. Step 3: Cross multiply
    48,777x = 67,312.26 × 26,421
  4. Step 4: Simplify right side
    48,777x = 1,778,457,221.46
  5. Step 5: Solve for x
    x = 1,778,457,221.46/48,777
  6. Step 6: Final answer
    x = 36,460.98

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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.