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Finding the Fourth Proportional to 30,746.46, 46,119.69 and 9,971.58

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Solution

The fourth proportional to 30,746.46, 46,119.69 and 9,971.58 is: 14,957.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,746.46 : 46,119.69 = 9,971.58 : x
  2. Step 2: Convert to fraction form
    30,746.46/46,119.69 = 9,971.58/x
  3. Step 3: Cross multiply
    30,746.46x = 46,119.69 × 9,971.58
  4. Step 4: Simplify right side
    30,746.46x = 459,886,178.41
  5. Step 5: Solve for x
    x = 459,886,178.41/30,746.46
  6. Step 6: Final answer
    x = 14,957.37

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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.