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Finding the Fourth Proportional to 35,403.64, 53,114.58 and 10,442.68

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Solution

The fourth proportional to 35,403.64, 53,114.58 and 10,442.68 is: 15,666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,403.64 : 53,114.58 = 10,442.68 : x
  2. Step 2: Convert to fraction form
    35,403.64/53,114.58 = 10,442.68/x
  3. Step 3: Cross multiply
    35,403.64x = 53,114.58 × 10,442.68
  4. Step 4: Simplify right side
    35,403.64x = 554,658,562.27
  5. Step 5: Solve for x
    x = 554,658,562.27/35,403.64
  6. Step 6: Final answer
    x = 15,666.71

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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.