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Finding the Fourth Proportional to 78,390.44, 108,175.74 and 46,558.52

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Solution

The fourth proportional to 78,390.44, 108,175.74 and 46,558.52 is: 64,248.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,390.44 : 108,175.74 = 46,558.52 : x
  2. Step 2: Convert to fraction form
    78,390.44/108,175.74 = 46,558.52/x
  3. Step 3: Cross multiply
    78,390.44x = 108,175.74 × 46,558.52
  4. Step 4: Simplify right side
    78,390.44x = 5,036,502,354.30
  5. Step 5: Solve for x
    x = 5,036,502,354.30/78,390.44
  6. Step 6: Final answer
    x = 64,248.94

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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.