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Finding the Fourth Proportional to 98,605.76, 136,075.94 and 53,893.76

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Solution

The fourth proportional to 98,605.76, 136,075.94 and 53,893.76 is: 74,373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,605.76 : 136,075.94 = 53,893.76 : x
  2. Step 2: Convert to fraction form
    98,605.76/136,075.94 = 53,893.76/x
  3. Step 3: Cross multiply
    98,605.76x = 136,075.94 × 53,893.76
  4. Step 4: Simplify right side
    98,605.76x = 7,333,644,052.13
  5. Step 5: Solve for x
    x = 7,333,644,052.13/98,605.76
  6. Step 6: Final answer
    x = 74,373.38

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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.