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Finding the Fourth Proportional to 106,741.60, 160,112.40 and 32,869.60

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Solution

The fourth proportional to 106,741.60, 160,112.40 and 32,869.60 is: 49,304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,741.60 : 160,112.40 = 32,869.60 : x
  2. Step 2: Convert to fraction form
    106,741.60/160,112.40 = 32,869.60/x
  3. Step 3: Cross multiply
    106,741.60x = 160,112.40 × 32,869.60
  4. Step 4: Simplify right side
    106,741.60x = 5,262,830,543.04
  5. Step 5: Solve for x
    x = 5,262,830,543.04/106,741.60
  6. Step 6: Final answer
    x = 49,304.40

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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.