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Finding the Fourth Proportional to 102,925, 142,036.50 and 55,821

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Solution

The fourth proportional to 102,925, 142,036.50 and 55,821 is: 77,032.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,925 : 142,036.50 = 55,821 : x
  2. Step 2: Convert to fraction form
    102,925/142,036.50 = 55,821/x
  3. Step 3: Cross multiply
    102,925x = 142,036.50 × 55,821
  4. Step 4: Simplify right side
    102,925x = 7,928,619,466.50
  5. Step 5: Solve for x
    x = 7,928,619,466.50/102,925
  6. Step 6: Final answer
    x = 77,032.98

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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.