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Finding the Fourth Proportional to 76,547.36, 114,714.12 and 37,094

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Solution

The fourth proportional to 76,547.36, 114,714.12 and 37,094 is: 55,589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,547.36 : 114,714.12 = 37,094 : x
  2. Step 2: Convert to fraction form
    76,547.36/114,714.12 = 37,094/x
  3. Step 3: Cross multiply
    76,547.36x = 114,714.12 × 37,094
  4. Step 4: Simplify right side
    76,547.36x = 4,255,205,567.28
  5. Step 5: Solve for x
    x = 4,255,205,567.28/76,547.36
  6. Step 6: Final answer
    x = 55,589.19

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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.