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Finding the Fourth Proportional to 30,416.96, 45,629.80 and 9,358.77

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Solution

The fourth proportional to 30,416.96, 45,629.80 and 9,358.77 is: 14,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.96 : 45,629.80 = 9,358.77 : x
  2. Step 2: Convert to fraction form
    30,416.96/45,629.80 = 9,358.77/x
  3. Step 3: Cross multiply
    30,416.96x = 45,629.80 × 9,358.77
  4. Step 4: Simplify right side
    30,416.96x = 427,038,803.35
  5. Step 5: Solve for x
    x = 427,038,803.35/30,416.96
  6. Step 6: Final answer
    x = 14,039.50

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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.