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Finding the Fourth Proportional to 35,382.42, 53,065.40 and 16,675.40

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Solution

The fourth proportional to 35,382.42, 53,065.40 and 16,675.40 is: 25,009.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,382.42 : 53,065.40 = 16,675.40 : x
  2. Step 2: Convert to fraction form
    35,382.42/53,065.40 = 16,675.40/x
  3. Step 3: Cross multiply
    35,382.42x = 53,065.40 × 16,675.40
  4. Step 4: Simplify right side
    35,382.42x = 884,886,820.45
  5. Step 5: Solve for x
    x = 884,886,820.45/35,382.42
  6. Step 6: Final answer
    x = 25,009.22

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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.