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Finding the Fourth Proportional to 30,764.34, 46,152.27 and 9,985.14

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Solution

The fourth proportional to 30,764.34, 46,152.27 and 9,985.14 is: 14,979.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764.34 : 46,152.27 = 9,985.14 : x
  2. Step 2: Convert to fraction form
    30,764.34/46,152.27 = 9,985.14/x
  3. Step 3: Cross multiply
    30,764.34x = 46,152.27 × 9,985.14
  4. Step 4: Simplify right side
    30,764.34x = 460,836,877.27
  5. Step 5: Solve for x
    x = 460,836,877.27/30,764.34
  6. Step 6: Final answer
    x = 14,979.58

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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.