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Finding the Fourth Proportional to 25,875.40, 35,756.46 and 22,045

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Solution

The fourth proportional to 25,875.40, 35,756.46 and 22,045 is: 30,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,875.40 : 35,756.46 = 22,045 : x
  2. Step 2: Convert to fraction form
    25,875.40/35,756.46 = 22,045/x
  3. Step 3: Cross multiply
    25,875.40x = 35,756.46 × 22,045
  4. Step 4: Simplify right side
    25,875.40x = 788,251,160.70
  5. Step 5: Solve for x
    x = 788,251,160.70/25,875.40
  6. Step 6: Final answer
    x = 30,463.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.