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Finding the Fourth Proportional to 56,417.86, 77,856.24 and 30,924.10

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Solution

The fourth proportional to 56,417.86, 77,856.24 and 30,924.10 is: 42,675.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,417.86 : 77,856.24 = 30,924.10 : x
  2. Step 2: Convert to fraction form
    56,417.86/77,856.24 = 30,924.10/x
  3. Step 3: Cross multiply
    56,417.86x = 77,856.24 × 30,924.10
  4. Step 4: Simplify right side
    56,417.86x = 2,407,634,151.38
  5. Step 5: Solve for x
    x = 2,407,634,151.38/56,417.86
  6. Step 6: Final answer
    x = 42,675.04

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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.