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Finding the Fourth Proportional to 35,549.31, 53,323.79 and 9,254.01

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Solution

The fourth proportional to 35,549.31, 53,323.79 and 9,254.01 is: 13,880.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,549.31 : 53,323.79 = 9,254.01 : x
  2. Step 2: Convert to fraction form
    35,549.31/53,323.79 = 9,254.01/x
  3. Step 3: Cross multiply
    35,549.31x = 53,323.79 × 9,254.01
  4. Step 4: Simplify right side
    35,549.31x = 493,458,839.63
  5. Step 5: Solve for x
    x = 493,458,839.63/35,549.31
  6. Step 6: Final answer
    x = 13,880.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.