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Finding the Fourth Proportional to 70,097.93, 105,106.50 and 47,938.16

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Solution

The fourth proportional to 70,097.93, 105,106.50 and 47,938.16 is: 71,879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,097.93 : 105,106.50 = 47,938.16 : x
  2. Step 2: Convert to fraction form
    70,097.93/105,106.50 = 47,938.16/x
  3. Step 3: Cross multiply
    70,097.93x = 105,106.50 × 47,938.16
  4. Step 4: Simplify right side
    70,097.93x = 5,038,612,214.04
  5. Step 5: Solve for x
    x = 5,038,612,214.04/70,097.93
  6. Step 6: Final answer
    x = 71,879.61

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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.