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Finding the Fourth Proportional to 35,038.94, 52,558.13 and 10,078.90

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Solution

The fourth proportional to 35,038.94, 52,558.13 and 10,078.90 is: 15,118.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,038.94 : 52,558.13 = 10,078.90 : x
  2. Step 2: Convert to fraction form
    35,038.94/52,558.13 = 10,078.90/x
  3. Step 3: Cross multiply
    35,038.94x = 52,558.13 × 10,078.90
  4. Step 4: Simplify right side
    35,038.94x = 529,728,030.26
  5. Step 5: Solve for x
    x = 529,728,030.26/35,038.94
  6. Step 6: Final answer
    x = 15,118.27

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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.