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Finding the Fourth Proportional to 101,477.20, 152,215.80 and 31,356.40

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Solution

The fourth proportional to 101,477.20, 152,215.80 and 31,356.40 is: 47,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,477.20 : 152,215.80 = 31,356.40 : x
  2. Step 2: Convert to fraction form
    101,477.20/152,215.80 = 31,356.40/x
  3. Step 3: Cross multiply
    101,477.20x = 152,215.80 × 31,356.40
  4. Step 4: Simplify right side
    101,477.20x = 4,772,939,511.12
  5. Step 5: Solve for x
    x = 4,772,939,511.12/101,477.20
  6. Step 6: Final answer
    x = 47,034.60

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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.