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Finding the Fourth Proportional to 52,125.12, 71,820 and 35,328.96

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Solution

The fourth proportional to 52,125.12, 71,820 and 35,328.96 is: 48,677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,125.12 : 71,820 = 35,328.96 : x
  2. Step 2: Convert to fraction form
    52,125.12/71,820 = 35,328.96/x
  3. Step 3: Cross multiply
    52,125.12x = 71,820 × 35,328.96
  4. Step 4: Simplify right side
    52,125.12x = 2,537,325,907.20
  5. Step 5: Solve for x
    x = 2,537,325,907.20/52,125.12
  6. Step 6: Final answer
    x = 48,677.60

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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.