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Finding the Fourth Proportional to 29,533.64, 44,307.93 and 9,812.30

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Solution

The fourth proportional to 29,533.64, 44,307.93 and 9,812.30 is: 14,720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,533.64 : 44,307.93 = 9,812.30 : x
  2. Step 2: Convert to fraction form
    29,533.64/44,307.93 = 9,812.30/x
  3. Step 3: Cross multiply
    29,533.64x = 44,307.93 × 9,812.30
  4. Step 4: Simplify right side
    29,533.64x = 434,762,701.54
  5. Step 5: Solve for x
    x = 434,762,701.54/29,533.64
  6. Step 6: Final answer
    x = 14,720.93

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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.