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Finding the Fourth Proportional to 70,702.84, 97,567.41 and 38,871.49

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Solution

The fourth proportional to 70,702.84, 97,567.41 and 38,871.49 is: 53,641.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,702.84 : 97,567.41 = 38,871.49 : x
  2. Step 2: Convert to fraction form
    70,702.84/97,567.41 = 38,871.49/x
  3. Step 3: Cross multiply
    70,702.84x = 97,567.41 × 38,871.49
  4. Step 4: Simplify right side
    70,702.84x = 3,792,590,602.14
  5. Step 5: Solve for x
    x = 3,792,590,602.14/70,702.84
  6. Step 6: Final answer
    x = 53,641.28

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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.