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Finding the Fourth Proportional to 78,321.60, 117,547.20 and 36,266.40

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Solution

The fourth proportional to 78,321.60, 117,547.20 and 36,266.40 is: 54,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,321.60 : 117,547.20 = 36,266.40 : x
  2. Step 2: Convert to fraction form
    78,321.60/117,547.20 = 36,266.40/x
  3. Step 3: Cross multiply
    78,321.60x = 117,547.20 × 36,266.40
  4. Step 4: Simplify right side
    78,321.60x = 4,263,013,774.08
  5. Step 5: Solve for x
    x = 4,263,013,774.08/78,321.60
  6. Step 6: Final answer
    x = 54,429.61

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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.