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Finding the Fourth Proportional to 29,529.60, 44,295.60 and 9,810

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Solution

The fourth proportional to 29,529.60, 44,295.60 and 9,810 is: 14,715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,529.60 : 44,295.60 = 9,810 : x
  2. Step 2: Convert to fraction form
    29,529.60/44,295.60 = 9,810/x
  3. Step 3: Cross multiply
    29,529.60x = 44,295.60 × 9,810
  4. Step 4: Simplify right side
    29,529.60x = 434,539,836
  5. Step 5: Solve for x
    x = 434,539,836/29,529.60
  6. Step 6: Final answer
    x = 14,715.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.