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Finding the Fourth Proportional to 76,903.54, 106,119.51 and 46,705.39

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Solution

The fourth proportional to 76,903.54, 106,119.51 and 46,705.39 is: 64,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,903.54 : 106,119.51 = 46,705.39 : x
  2. Step 2: Convert to fraction form
    76,903.54/106,119.51 = 46,705.39/x
  3. Step 3: Cross multiply
    76,903.54x = 106,119.51 × 46,705.39
  4. Step 4: Simplify right side
    76,903.54x = 4,956,353,101.16
  5. Step 5: Solve for x
    x = 4,956,353,101.16/76,903.54
  6. Step 6: Final answer
    x = 64,448.96

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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.