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Finding the Fourth Proportional to 113,703.64, 170,482.52 and 47,189.68

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Solution

The fourth proportional to 113,703.64, 170,482.52 and 47,189.68 is: 70,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,703.64 : 170,482.52 = 47,189.68 : x
  2. Step 2: Convert to fraction form
    113,703.64/170,482.52 = 47,189.68/x
  3. Step 3: Cross multiply
    113,703.64x = 170,482.52 × 47,189.68
  4. Step 4: Simplify right side
    113,703.64x = 8,045,015,564.39
  5. Step 5: Solve for x
    x = 8,045,015,564.39/113,703.64
  6. Step 6: Final answer
    x = 70,754.25

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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.