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Finding the Fourth Proportional to 37,680.96, 56,547.90 and 15,514.50

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Solution

The fourth proportional to 37,680.96, 56,547.90 and 15,514.50 is: 23,282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,680.96 : 56,547.90 = 15,514.50 : x
  2. Step 2: Convert to fraction form
    37,680.96/56,547.90 = 15,514.50/x
  3. Step 3: Cross multiply
    37,680.96x = 56,547.90 × 15,514.50
  4. Step 4: Simplify right side
    37,680.96x = 877,312,394.55
  5. Step 5: Solve for x
    x = 877,312,394.55/37,680.96
  6. Step 6: Final answer
    x = 23,282.64

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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.