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Finding the Fourth Proportional to 56,421.82, 77,860.20 and 32,547.88

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Solution

The fourth proportional to 56,421.82, 77,860.20 and 32,547.88 is: 44,914.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,421.82 : 77,860.20 = 32,547.88 : x
  2. Step 2: Convert to fraction form
    56,421.82/77,860.20 = 32,547.88/x
  3. Step 3: Cross multiply
    56,421.82x = 77,860.20 × 32,547.88
  4. Step 4: Simplify right side
    56,421.82x = 2,534,184,446.38
  5. Step 5: Solve for x
    x = 2,534,184,446.38/56,421.82
  6. Step 6: Final answer
    x = 44,914.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.