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Finding the Fourth Proportional to 30,477.40, 45,699.66 and 13,828.35

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Solution

The fourth proportional to 30,477.40, 45,699.66 and 13,828.35 is: 20,735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.40 : 45,699.66 = 13,828.35 : x
  2. Step 2: Convert to fraction form
    30,477.40/45,699.66 = 13,828.35/x
  3. Step 3: Cross multiply
    30,477.40x = 45,699.66 × 13,828.35
  4. Step 4: Simplify right side
    30,477.40x = 631,950,893.36
  5. Step 5: Solve for x
    x = 631,950,893.36/30,477.40
  6. Step 6: Final answer
    x = 20,735.07

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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.