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Finding the Fourth Proportional to 30,762.48, 46,150.74 and 9,702.42

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Solution

The fourth proportional to 30,762.48, 46,150.74 and 9,702.42 is: 14,555.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.48 : 46,150.74 = 9,702.42 : x
  2. Step 2: Convert to fraction form
    30,762.48/46,150.74 = 9,702.42/x
  3. Step 3: Cross multiply
    30,762.48x = 46,150.74 × 9,702.42
  4. Step 4: Simplify right side
    30,762.48x = 447,773,862.79
  5. Step 5: Solve for x
    x = 447,773,862.79/30,762.48
  6. Step 6: Final answer
    x = 14,555.84

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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.