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Finding the Fourth Proportional to 48,798, 67,341.24 and 26,442

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Solution

The fourth proportional to 48,798, 67,341.24 and 26,442 is: 36,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,798 : 67,341.24 = 26,442 : x
  2. Step 2: Convert to fraction form
    48,798/67,341.24 = 26,442/x
  3. Step 3: Cross multiply
    48,798x = 67,341.24 × 26,442
  4. Step 4: Simplify right side
    48,798x = 1,780,637,068.08
  5. Step 5: Solve for x
    x = 1,780,637,068.08/48,798
  6. Step 6: Final answer
    x = 36,489.96

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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.