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Finding the Fourth Proportional to 30,897.32, 46,345.50 and 7,523.72

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Solution

The fourth proportional to 30,897.32, 46,345.50 and 7,523.72 is: 11,285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.32 : 46,345.50 = 7,523.72 : x
  2. Step 2: Convert to fraction form
    30,897.32/46,345.50 = 7,523.72/x
  3. Step 3: Cross multiply
    30,897.32x = 46,345.50 × 7,523.72
  4. Step 4: Simplify right side
    30,897.32x = 348,690,565.26
  5. Step 5: Solve for x
    x = 348,690,565.26/30,897.32
  6. Step 6: Final answer
    x = 11,285.46

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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.