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Finding the Fourth Proportional to 29,898.24, 44,852.16 and 9,120

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Solution

The fourth proportional to 29,898.24, 44,852.16 and 9,120 is: 13,681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,898.24 : 44,852.16 = 9,120 : x
  2. Step 2: Convert to fraction form
    29,898.24/44,852.16 = 9,120/x
  3. Step 3: Cross multiply
    29,898.24x = 44,852.16 × 9,120
  4. Step 4: Simplify right side
    29,898.24x = 409,051,699.20
  5. Step 5: Solve for x
    x = 409,051,699.20/29,898.24
  6. Step 6: Final answer
    x = 13,681.46

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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.