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Finding the Fourth Proportional to 30,417.60, 45,630.75 and 9,359.40

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Solution

The fourth proportional to 30,417.60, 45,630.75 and 9,359.40 is: 14,040.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,417.60 : 45,630.75 = 9,359.40 : x
  2. Step 2: Convert to fraction form
    30,417.60/45,630.75 = 9,359.40/x
  3. Step 3: Cross multiply
    30,417.60x = 45,630.75 × 9,359.40
  4. Step 4: Simplify right side
    30,417.60x = 427,076,441.55
  5. Step 5: Solve for x
    x = 427,076,441.55/30,417.60
  6. Step 6: Final answer
    x = 14,040.44

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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.