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Finding the Fourth Proportional to 35,422.64, 53,139.73 and 10,465.21

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Solution

The fourth proportional to 35,422.64, 53,139.73 and 10,465.21 is: 15,699.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,422.64 : 53,139.73 = 10,465.21 : x
  2. Step 2: Convert to fraction form
    35,422.64/53,139.73 = 10,465.21/x
  3. Step 3: Cross multiply
    35,422.64x = 53,139.73 × 10,465.21
  4. Step 4: Simplify right side
    35,422.64x = 556,118,433.79
  5. Step 5: Solve for x
    x = 556,118,433.79/35,422.64
  6. Step 6: Final answer
    x = 15,699.52

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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.