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Finding the Fourth Proportional to 52,475.40, 78,705.90 and 17,411.40

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Solution

The fourth proportional to 52,475.40, 78,705.90 and 17,411.40 is: 26,114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,475.40 : 78,705.90 = 17,411.40 : x
  2. Step 2: Convert to fraction form
    52,475.40/78,705.90 = 17,411.40/x
  3. Step 3: Cross multiply
    52,475.40x = 78,705.90 × 17,411.40
  4. Step 4: Simplify right side
    52,475.40x = 1,370,379,907.26
  5. Step 5: Solve for x
    x = 1,370,379,907.26/52,475.40
  6. Step 6: Final answer
    x = 26,114.71

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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.