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Finding the Fourth Proportional to 70,242.48, 105,419.07 and 30,826.80

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Solution

The fourth proportional to 70,242.48, 105,419.07 and 30,826.80 is: 46,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,242.48 : 105,419.07 = 30,826.80 : x
  2. Step 2: Convert to fraction form
    70,242.48/105,419.07 = 30,826.80/x
  3. Step 3: Cross multiply
    70,242.48x = 105,419.07 × 30,826.80
  4. Step 4: Simplify right side
    70,242.48x = 3,249,732,587.08
  5. Step 5: Solve for x
    x = 3,249,732,587.08/70,242.48
  6. Step 6: Final answer
    x = 46,264.49

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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.