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Finding the Fourth Proportional to 55,825, 77,038.52 and 30,674.52

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Solution

The fourth proportional to 55,825, 77,038.52 and 30,674.52 is: 42,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,825 : 77,038.52 = 30,674.52 : x
  2. Step 2: Convert to fraction form
    55,825/77,038.52 = 30,674.52/x
  3. Step 3: Cross multiply
    55,825x = 77,038.52 × 30,674.52
  4. Step 4: Simplify right side
    55,825x = 2,363,119,622.51
  5. Step 5: Solve for x
    x = 2,363,119,622.51/55,825
  6. Step 6: Final answer
    x = 42,330.85

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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.