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Finding the Fourth Proportional to 56,098.08, 77,411.88 and 32,208

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Solution

The fourth proportional to 56,098.08, 77,411.88 and 32,208 is: 44,445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,098.08 : 77,411.88 = 32,208 : x
  2. Step 2: Convert to fraction form
    56,098.08/77,411.88 = 32,208/x
  3. Step 3: Cross multiply
    56,098.08x = 77,411.88 × 32,208
  4. Step 4: Simplify right side
    56,098.08x = 2,493,281,831.04
  5. Step 5: Solve for x
    x = 2,493,281,831.04/56,098.08
  6. Step 6: Final answer
    x = 44,445.05

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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.