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Finding the Fourth Proportional to 76,335.66, 105,340.71 and 46,115.70

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Solution

The fourth proportional to 76,335.66, 105,340.71 and 46,115.70 is: 63,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,335.66 : 105,340.71 = 46,115.70 : x
  2. Step 2: Convert to fraction form
    76,335.66/105,340.71 = 46,115.70/x
  3. Step 3: Cross multiply
    76,335.66x = 105,340.71 × 46,115.70
  4. Step 4: Simplify right side
    76,335.66x = 4,857,860,580.15
  5. Step 5: Solve for x
    x = 4,857,860,580.15/76,335.66
  6. Step 6: Final answer
    x = 63,638.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.