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Finding the Fourth Proportional to 70,803.42, 97,707.96 and 38,971.64

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Solution

The fourth proportional to 70,803.42, 97,707.96 and 38,971.64 is: 53,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,803.42 : 97,707.96 = 38,971.64 : x
  2. Step 2: Convert to fraction form
    70,803.42/97,707.96 = 38,971.64/x
  3. Step 3: Cross multiply
    70,803.42x = 97,707.96 × 38,971.64
  4. Step 4: Simplify right side
    70,803.42x = 3,807,839,442.25
  5. Step 5: Solve for x
    x = 3,807,839,442.25/70,803.42
  6. Step 6: Final answer
    x = 53,780.45

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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.