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Finding the Fourth Proportional to 29,769.34, 44,655 and 14,970.16

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Solution

The fourth proportional to 29,769.34, 44,655 and 14,970.16 is: 22,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,769.34 : 44,655 = 14,970.16 : x
  2. Step 2: Convert to fraction form
    29,769.34/44,655 = 14,970.16/x
  3. Step 3: Cross multiply
    29,769.34x = 44,655 × 14,970.16
  4. Step 4: Simplify right side
    29,769.34x = 668,492,494.80
  5. Step 5: Solve for x
    x = 668,492,494.80/29,769.34
  6. Step 6: Final answer
    x = 22,455.74

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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.