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Finding the Fourth Proportional to 29,656.64, 44,483.40 and 7,470

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Solution

The fourth proportional to 29,656.64, 44,483.40 and 7,470 is: 11,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,656.64 : 44,483.40 = 7,470 : x
  2. Step 2: Convert to fraction form
    29,656.64/44,483.40 = 7,470/x
  3. Step 3: Cross multiply
    29,656.64x = 44,483.40 × 7,470
  4. Step 4: Simplify right side
    29,656.64x = 332,290,998
  5. Step 5: Solve for x
    x = 332,290,998/29,656.64
  6. Step 6: Final answer
    x = 11,204.61

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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.