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Finding the Fourth Proportional to 70,533.42, 97,329.03 and 42,238.38

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Solution

The fourth proportional to 70,533.42, 97,329.03 and 42,238.38 is: 58,284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,533.42 : 97,329.03 = 42,238.38 : x
  2. Step 2: Convert to fraction form
    70,533.42/97,329.03 = 42,238.38/x
  3. Step 3: Cross multiply
    70,533.42x = 97,329.03 × 42,238.38
  4. Step 4: Simplify right side
    70,533.42x = 4,111,020,554.17
  5. Step 5: Solve for x
    x = 4,111,020,554.17/70,533.42
  6. Step 6: Final answer
    x = 58,284.72

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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.