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Finding the Fourth Proportional to 114,353.82, 171,547.32 and 35,474.40

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Solution

The fourth proportional to 114,353.82, 171,547.32 and 35,474.40 is: 53,216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,353.82 : 171,547.32 = 35,474.40 : x
  2. Step 2: Convert to fraction form
    114,353.82/171,547.32 = 35,474.40/x
  3. Step 3: Cross multiply
    114,353.82x = 171,547.32 × 35,474.40
  4. Step 4: Simplify right side
    114,353.82x = 6,085,538,248.61
  5. Step 5: Solve for x
    x = 6,085,538,248.61/114,353.82
  6. Step 6: Final answer
    x = 53,216.75

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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.