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Finding the Fourth Proportional to 35,420.15, 53,135.98 and 10,462.71

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Solution

The fourth proportional to 35,420.15, 53,135.98 and 10,462.71 is: 15,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,420.15 : 53,135.98 = 10,462.71 : x
  2. Step 2: Convert to fraction form
    35,420.15/53,135.98 = 10,462.71/x
  3. Step 3: Cross multiply
    35,420.15x = 53,135.98 × 10,462.71
  4. Step 4: Simplify right side
    35,420.15x = 555,946,323.15
  5. Step 5: Solve for x
    x = 555,946,323.15/35,420.15
  6. Step 6: Final answer
    x = 15,695.77

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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.