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Finding the Fourth Proportional to 102,562.10, 153,843.15 and 47,266.10

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Solution

The fourth proportional to 102,562.10, 153,843.15 and 47,266.10 is: 70,899.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,562.10 : 153,843.15 = 47,266.10 : x
  2. Step 2: Convert to fraction form
    102,562.10/153,843.15 = 47,266.10/x
  3. Step 3: Cross multiply
    102,562.10x = 153,843.15 × 47,266.10
  4. Step 4: Simplify right side
    102,562.10x = 7,271,565,712.22
  5. Step 5: Solve for x
    x = 7,271,565,712.22/102,562.10
  6. Step 6: Final answer
    x = 70,899.15

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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.