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Finding the Fourth Proportional to 30,848.64, 46,270.08 and 13,315.20

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Solution

The fourth proportional to 30,848.64, 46,270.08 and 13,315.20 is: 19,971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,848.64 : 46,270.08 = 13,315.20 : x
  2. Step 2: Convert to fraction form
    30,848.64/46,270.08 = 13,315.20/x
  3. Step 3: Cross multiply
    30,848.64x = 46,270.08 × 13,315.20
  4. Step 4: Simplify right side
    30,848.64x = 616,095,369.22
  5. Step 5: Solve for x
    x = 616,095,369.22/30,848.64
  6. Step 6: Final answer
    x = 19,971.56

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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.