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Finding the Fourth Proportional to 70,891.36, 97,844.16 and 42,218.08

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Solution

The fourth proportional to 70,891.36, 97,844.16 and 42,218.08 is: 58,269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,891.36 : 97,844.16 = 42,218.08 : x
  2. Step 2: Convert to fraction form
    70,891.36/97,844.16 = 42,218.08/x
  3. Step 3: Cross multiply
    70,891.36x = 97,844.16 × 42,218.08
  4. Step 4: Simplify right side
    70,891.36x = 4,130,792,574.41
  5. Step 5: Solve for x
    x = 4,130,792,574.41/70,891.36
  6. Step 6: Final answer
    x = 58,269.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.