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Finding the Fourth Proportional to 35,405.76, 53,090.36 and 10,442.63

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Solution

The fourth proportional to 35,405.76, 53,090.36 and 10,442.63 is: 15,658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,405.76 : 53,090.36 = 10,442.63 : x
  2. Step 2: Convert to fraction form
    35,405.76/53,090.36 = 10,442.63/x
  3. Step 3: Cross multiply
    35,405.76x = 53,090.36 × 10,442.63
  4. Step 4: Simplify right side
    35,405.76x = 554,403,066.56
  5. Step 5: Solve for x
    x = 554,403,066.56/35,405.76
  6. Step 6: Final answer
    x = 15,658.56

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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.