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Finding the Fourth Proportional to 56,465.92, 77,951.04 and 35,256.64

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Solution

The fourth proportional to 56,465.92, 77,951.04 and 35,256.64 is: 48,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,465.92 : 77,951.04 = 35,256.64 : x
  2. Step 2: Convert to fraction form
    56,465.92/77,951.04 = 35,256.64/x
  3. Step 3: Cross multiply
    56,465.92x = 77,951.04 × 35,256.64
  4. Step 4: Simplify right side
    56,465.92x = 2,748,291,754.91
  5. Step 5: Solve for x
    x = 2,748,291,754.91/56,465.92
  6. Step 6: Final answer
    x = 48,671.69

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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.