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Finding the Fourth Proportional to 48,738, 67,258.64 and 26,382

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Solution

The fourth proportional to 48,738, 67,258.64 and 26,382 is: 36,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,738 : 67,258.64 = 26,382 : x
  2. Step 2: Convert to fraction form
    48,738/67,258.64 = 26,382/x
  3. Step 3: Cross multiply
    48,738x = 67,258.64 × 26,382
  4. Step 4: Simplify right side
    48,738x = 1,774,417,506.44
  5. Step 5: Solve for x
    x = 1,774,417,506.44/48,738
  6. Step 6: Final answer
    x = 36,407.27

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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.