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Finding the Fourth Proportional to 114,739.68, 172,070.40 and 39,840

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Solution

The fourth proportional to 114,739.68, 172,070.40 and 39,840 is: 59,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,739.68 : 172,070.40 = 39,840 : x
  2. Step 2: Convert to fraction form
    114,739.68/172,070.40 = 39,840/x
  3. Step 3: Cross multiply
    114,739.68x = 172,070.40 × 39,840
  4. Step 4: Simplify right side
    114,739.68x = 6,855,284,736
  5. Step 5: Solve for x
    x = 6,855,284,736/114,739.68
  6. Step 6: Final answer
    x = 59,746.42

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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.