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Finding the Fourth Proportional to 48,020, 66,267.36 and 26,798

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Solution

The fourth proportional to 48,020, 66,267.36 and 26,798 is: 36,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,020 : 66,267.36 = 26,798 : x
  2. Step 2: Convert to fraction form
    48,020/66,267.36 = 26,798/x
  3. Step 3: Cross multiply
    48,020x = 66,267.36 × 26,798
  4. Step 4: Simplify right side
    48,020x = 1,775,832,713.28
  5. Step 5: Solve for x
    x = 1,775,832,713.28/48,020
  6. Step 6: Final answer
    x = 36,981.11

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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.