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Finding the Fourth Proportional to 76,727.34, 105,889.05 and 46,513.93

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Solution

The fourth proportional to 76,727.34, 105,889.05 and 46,513.93 is: 64,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,727.34 : 105,889.05 = 46,513.93 : x
  2. Step 2: Convert to fraction form
    76,727.34/105,889.05 = 46,513.93/x
  3. Step 3: Cross multiply
    76,727.34x = 105,889.05 × 46,513.93
  4. Step 4: Simplify right side
    76,727.34x = 4,925,315,811.37
  5. Step 5: Solve for x
    x = 4,925,315,811.37/76,727.34
  6. Step 6: Final answer
    x = 64,192.45

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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.