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Finding the Fourth Proportional to 30,897.40, 46,345.62 and 7,523.64

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Solution

The fourth proportional to 30,897.40, 46,345.62 and 7,523.64 is: 11,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.40 : 46,345.62 = 7,523.64 : x
  2. Step 2: Convert to fraction form
    30,897.40/46,345.62 = 7,523.64/x
  3. Step 3: Cross multiply
    30,897.40x = 46,345.62 × 7,523.64
  4. Step 4: Simplify right side
    30,897.40x = 348,687,760.46
  5. Step 5: Solve for x
    x = 348,687,760.46/30,897.40
  6. Step 6: Final answer
    x = 11,285.34

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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.