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Finding the Fourth Proportional to 70,213, 105,331.02 and 23,477.08

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Solution

The fourth proportional to 70,213, 105,331.02 and 23,477.08 is: 35,219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,213 : 105,331.02 = 23,477.08 : x
  2. Step 2: Convert to fraction form
    70,213/105,331.02 = 23,477.08/x
  3. Step 3: Cross multiply
    70,213x = 105,331.02 × 23,477.08
  4. Step 4: Simplify right side
    70,213x = 2,472,864,783.02
  5. Step 5: Solve for x
    x = 2,472,864,783.02/70,213
  6. Step 6: Final answer
    x = 35,219.47

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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.