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Finding the Fourth Proportional to 30,541.02, 45,808.65 and 9,758.94

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Solution

The fourth proportional to 30,541.02, 45,808.65 and 9,758.94 is: 14,637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,541.02 : 45,808.65 = 9,758.94 : x
  2. Step 2: Convert to fraction form
    30,541.02/45,808.65 = 9,758.94/x
  3. Step 3: Cross multiply
    30,541.02x = 45,808.65 × 9,758.94
  4. Step 4: Simplify right side
    30,541.02x = 447,043,866.83
  5. Step 5: Solve for x
    x = 447,043,866.83/30,541.02
  6. Step 6: Final answer
    x = 14,637.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.