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Finding the Fourth Proportional to 53,699.98, 74,106.03 and 29,826.70

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Solution

The fourth proportional to 53,699.98, 74,106.03 and 29,826.70 is: 41,160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,699.98 : 74,106.03 = 29,826.70 : x
  2. Step 2: Convert to fraction form
    53,699.98/74,106.03 = 29,826.70/x
  3. Step 3: Cross multiply
    53,699.98x = 74,106.03 × 29,826.70
  4. Step 4: Simplify right side
    53,699.98x = 2,210,338,325.00
  5. Step 5: Solve for x
    x = 2,210,338,325.00/53,699.98
  6. Step 6: Final answer
    x = 41,160.88

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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.