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Finding the Fourth Proportional to 56,406.07, 77,842.54 and 32,210.98

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Solution

The fourth proportional to 56,406.07, 77,842.54 and 32,210.98 is: 44,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,406.07 : 77,842.54 = 32,210.98 : x
  2. Step 2: Convert to fraction form
    56,406.07/77,842.54 = 32,210.98/x
  3. Step 3: Cross multiply
    56,406.07x = 77,842.54 × 32,210.98
  4. Step 4: Simplify right side
    56,406.07x = 2,507,384,601.42
  5. Step 5: Solve for x
    x = 2,507,384,601.42/56,406.07
  6. Step 6: Final answer
    x = 44,452.39

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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.