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Finding the Fourth Proportional to 48,410.36, 72,666.42 and 42,899

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Solution

The fourth proportional to 48,410.36, 72,666.42 and 42,899 is: 64,393.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,410.36 : 72,666.42 = 42,899 : x
  2. Step 2: Convert to fraction form
    48,410.36/72,666.42 = 42,899/x
  3. Step 3: Cross multiply
    48,410.36x = 72,666.42 × 42,899
  4. Step 4: Simplify right side
    48,410.36x = 3,117,316,751.58
  5. Step 5: Solve for x
    x = 3,117,316,751.58/48,410.36
  6. Step 6: Final answer
    x = 64,393.59

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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.