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Finding the Fourth Proportional to 29,346, 44,025.48 and 10,878

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Solution

The fourth proportional to 29,346, 44,025.48 and 10,878 is: 16,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,346 : 44,025.48 = 10,878 : x
  2. Step 2: Convert to fraction form
    29,346/44,025.48 = 10,878/x
  3. Step 3: Cross multiply
    29,346x = 44,025.48 × 10,878
  4. Step 4: Simplify right side
    29,346x = 478,909,171.44
  5. Step 5: Solve for x
    x = 478,909,171.44/29,346
  6. Step 6: Final answer
    x = 16,319.40

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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.