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Finding the Fourth Proportional to 35,907.84, 53,848.80 and 15,120

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Solution

The fourth proportional to 35,907.84, 53,848.80 and 15,120 is: 22,674.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,907.84 : 53,848.80 = 15,120 : x
  2. Step 2: Convert to fraction form
    35,907.84/53,848.80 = 15,120/x
  3. Step 3: Cross multiply
    35,907.84x = 53,848.80 × 15,120
  4. Step 4: Simplify right side
    35,907.84x = 814,193,856
  5. Step 5: Solve for x
    x = 814,193,856/35,907.84
  6. Step 6: Final answer
    x = 22,674.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.