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Finding the Fourth Proportional to 55,746, 76,929.12 and 30,595.68

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Solution

The fourth proportional to 55,746, 76,929.12 and 30,595.68 is: 42,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,746 : 76,929.12 = 30,595.68 : x
  2. Step 2: Convert to fraction form
    55,746/76,929.12 = 30,595.68/x
  3. Step 3: Cross multiply
    55,746x = 76,929.12 × 30,595.68
  4. Step 4: Simplify right side
    55,746x = 2,353,698,738.20
  5. Step 5: Solve for x
    x = 2,353,698,738.20/55,746
  6. Step 6: Final answer
    x = 42,221.84

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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.