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Finding the Fourth Proportional to 70,597.14, 97,424.16 and 38,768.10

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Solution

The fourth proportional to 70,597.14, 97,424.16 and 38,768.10 is: 53,500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,597.14 : 97,424.16 = 38,768.10 : x
  2. Step 2: Convert to fraction form
    70,597.14/97,424.16 = 38,768.10/x
  3. Step 3: Cross multiply
    70,597.14x = 97,424.16 × 38,768.10
  4. Step 4: Simplify right side
    70,597.14x = 3,776,949,577.30
  5. Step 5: Solve for x
    x = 3,776,949,577.30/70,597.14
  6. Step 6: Final answer
    x = 53,500.04

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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.