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Finding the Fourth Proportional to 70,955.42, 97,907.82 and 40,742.06

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Solution

The fourth proportional to 70,955.42, 97,907.82 and 40,742.06 is: 56,217.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,955.42 : 97,907.82 = 40,742.06 : x
  2. Step 2: Convert to fraction form
    70,955.42/97,907.82 = 40,742.06/x
  3. Step 3: Cross multiply
    70,955.42x = 97,907.82 × 40,742.06
  4. Step 4: Simplify right side
    70,955.42x = 3,988,966,276.91
  5. Step 5: Solve for x
    x = 3,988,966,276.91/70,955.42
  6. Step 6: Final answer
    x = 56,217.92

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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.