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Finding the Fourth Proportional to 75,875.40, 113,813.10 and 29,129.40

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Solution

The fourth proportional to 75,875.40, 113,813.10 and 29,129.40 is: 43,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,875.40 : 113,813.10 = 29,129.40 : x
  2. Step 2: Convert to fraction form
    75,875.40/113,813.10 = 29,129.40/x
  3. Step 3: Cross multiply
    75,875.40x = 113,813.10 × 29,129.40
  4. Step 4: Simplify right side
    75,875.40x = 3,315,307,315.14
  5. Step 5: Solve for x
    x = 3,315,307,315.14/75,875.40
  6. Step 6: Final answer
    x = 43,694.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.