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Finding the Fourth Proportional to 89,458.98, 123,459.84 and 53,648.34

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Solution

The fourth proportional to 89,458.98, 123,459.84 and 53,648.34 is: 74,038.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,458.98 : 123,459.84 = 53,648.34 : x
  2. Step 2: Convert to fraction form
    89,458.98/123,459.84 = 53,648.34/x
  3. Step 3: Cross multiply
    89,458.98x = 123,459.84 × 53,648.34
  4. Step 4: Simplify right side
    89,458.98x = 6,623,415,472.67
  5. Step 5: Solve for x
    x = 6,623,415,472.67/89,458.98
  6. Step 6: Final answer
    x = 74,038.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.