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Finding the Fourth Proportional to 35,777.40, 53,705.34 and 28,429.08

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Solution

The fourth proportional to 35,777.40, 53,705.34 and 28,429.08 is: 42,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,777.40 : 53,705.34 = 28,429.08 : x
  2. Step 2: Convert to fraction form
    35,777.40/53,705.34 = 28,429.08/x
  3. Step 3: Cross multiply
    35,777.40x = 53,705.34 × 28,429.08
  4. Step 4: Simplify right side
    35,777.40x = 1,526,793,407.29
  5. Step 5: Solve for x
    x = 1,526,793,407.29/35,777.40
  6. Step 6: Final answer
    x = 42,674.80

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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.