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Finding the Fourth Proportional to 35,312.90, 52,970.19 and 10,353.62

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Solution

The fourth proportional to 35,312.90, 52,970.19 and 10,353.62 is: 15,530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,312.90 : 52,970.19 = 10,353.62 : x
  2. Step 2: Convert to fraction form
    35,312.90/52,970.19 = 10,353.62/x
  3. Step 3: Cross multiply
    35,312.90x = 52,970.19 × 10,353.62
  4. Step 4: Simplify right side
    35,312.90x = 548,433,218.59
  5. Step 5: Solve for x
    x = 548,433,218.59/35,312.90
  6. Step 6: Final answer
    x = 15,530.68

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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.