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Finding the Fourth Proportional to 52,577.60, 78,866.40 and 31,841.60

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Solution

The fourth proportional to 52,577.60, 78,866.40 and 31,841.60 is: 47,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,577.60 : 78,866.40 = 31,841.60 : x
  2. Step 2: Convert to fraction form
    52,577.60/78,866.40 = 31,841.60/x
  3. Step 3: Cross multiply
    52,577.60x = 78,866.40 × 31,841.60
  4. Step 4: Simplify right side
    52,577.60x = 2,511,232,362.24
  5. Step 5: Solve for x
    x = 2,511,232,362.24/52,577.60
  6. Step 6: Final answer
    x = 47,762.40

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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.