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Finding the Fourth Proportional to 58,415.84, 80,585.76 and 38,264

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Solution

The fourth proportional to 58,415.84, 80,585.76 and 38,264 is: 52,785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,415.84 : 80,585.76 = 38,264 : x
  2. Step 2: Convert to fraction form
    58,415.84/80,585.76 = 38,264/x
  3. Step 3: Cross multiply
    58,415.84x = 80,585.76 × 38,264
  4. Step 4: Simplify right side
    58,415.84x = 3,083,533,520.64
  5. Step 5: Solve for x
    x = 3,083,533,520.64/58,415.84
  6. Step 6: Final answer
    x = 52,785.91

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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.