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Finding the Fourth Proportional to 56,409.96, 77,835.86 and 32,199.86

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Solution

The fourth proportional to 56,409.96, 77,835.86 and 32,199.86 is: 44,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,409.96 : 77,835.86 = 32,199.86 : x
  2. Step 2: Convert to fraction form
    56,409.96/77,835.86 = 32,199.86/x
  3. Step 3: Cross multiply
    56,409.96x = 77,835.86 × 32,199.86
  4. Step 4: Simplify right side
    56,409.96x = 2,506,303,794.98
  5. Step 5: Solve for x
    x = 2,506,303,794.98/56,409.96
  6. Step 6: Final answer
    x = 44,430.16

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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.