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Finding the Fourth Proportional to 30,762.89, 46,142.80 and 12,046.35

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Solution

The fourth proportional to 30,762.89, 46,142.80 and 12,046.35 is: 18,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.89 : 46,142.80 = 12,046.35 : x
  2. Step 2: Convert to fraction form
    30,762.89/46,142.80 = 12,046.35/x
  3. Step 3: Cross multiply
    30,762.89x = 46,142.80 × 12,046.35
  4. Step 4: Simplify right side
    30,762.89x = 555,852,461.70
  5. Step 5: Solve for x
    x = 555,852,461.70/30,762.89
  6. Step 6: Final answer
    x = 18,068.93

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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.