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Finding the Fourth Proportional to 76,068.96, 114,054.84 and 36,547.44

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Solution

The fourth proportional to 76,068.96, 114,054.84 and 36,547.44 is: 54,797.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,068.96 : 114,054.84 = 36,547.44 : x
  2. Step 2: Convert to fraction form
    76,068.96/114,054.84 = 36,547.44/x
  3. Step 3: Cross multiply
    76,068.96x = 114,054.84 × 36,547.44
  4. Step 4: Simplify right side
    76,068.96x = 4,168,412,421.61
  5. Step 5: Solve for x
    x = 4,168,412,421.61/76,068.96
  6. Step 6: Final answer
    x = 54,797.81

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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.