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Finding the Fourth Proportional to 30,421.12, 45,632.96 and 9,644.16

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Solution

The fourth proportional to 30,421.12, 45,632.96 and 9,644.16 is: 14,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,421.12 : 45,632.96 = 9,644.16 : x
  2. Step 2: Convert to fraction form
    30,421.12/45,632.96 = 9,644.16/x
  3. Step 3: Cross multiply
    30,421.12x = 45,632.96 × 9,644.16
  4. Step 4: Simplify right side
    30,421.12x = 440,091,567.51
  5. Step 5: Solve for x
    x = 440,091,567.51/30,421.12
  6. Step 6: Final answer
    x = 14,466.65

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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.