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Finding the Fourth Proportional to 84,594.61, 116,750.94 and 48,784.62

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Solution

The fourth proportional to 84,594.61, 116,750.94 and 48,784.62 is: 67,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,594.61 : 116,750.94 = 48,784.62 : x
  2. Step 2: Convert to fraction form
    84,594.61/116,750.94 = 48,784.62/x
  3. Step 3: Cross multiply
    84,594.61x = 116,750.94 × 48,784.62
  4. Step 4: Simplify right side
    84,594.61x = 5,695,650,826.95
  5. Step 5: Solve for x
    x = 5,695,650,826.95/84,594.61
  6. Step 6: Final answer
    x = 67,328.77

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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.