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Finding the Fourth Proportional to 35,559, 53,347.14 and 10,935

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Solution

The fourth proportional to 35,559, 53,347.14 and 10,935 is: 16,405.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,559 : 53,347.14 = 10,935 : x
  2. Step 2: Convert to fraction form
    35,559/53,347.14 = 10,935/x
  3. Step 3: Cross multiply
    35,559x = 53,347.14 × 10,935
  4. Step 4: Simplify right side
    35,559x = 583,350,975.90
  5. Step 5: Solve for x
    x = 583,350,975.90/35,559
  6. Step 6: Final answer
    x = 16,405.16

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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.