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Finding the Fourth Proportional to 56,184, 77,534.20 and 32,312.08

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Solution

The fourth proportional to 56,184, 77,534.20 and 32,312.08 is: 44,590.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,184 : 77,534.20 = 32,312.08 : x
  2. Step 2: Convert to fraction form
    56,184/77,534.20 = 32,312.08/x
  3. Step 3: Cross multiply
    56,184x = 77,534.20 × 32,312.08
  4. Step 4: Simplify right side
    56,184x = 2,505,291,273.14
  5. Step 5: Solve for x
    x = 2,505,291,273.14/56,184
  6. Step 6: Final answer
    x = 44,590.83

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