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Finding the Fourth Proportional to 101,977.60, 152,907 and 39,575.20

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Solution

The fourth proportional to 101,977.60, 152,907 and 39,575.20 is: 59,339.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,977.60 : 152,907 = 39,575.20 : x
  2. Step 2: Convert to fraction form
    101,977.60/152,907 = 39,575.20/x
  3. Step 3: Cross multiply
    101,977.60x = 152,907 × 39,575.20
  4. Step 4: Simplify right side
    101,977.60x = 6,051,325,106.40
  5. Step 5: Solve for x
    x = 6,051,325,106.40/101,977.60
  6. Step 6: Final answer
    x = 59,339.75

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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.