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Finding the Fourth Proportional to 70,686.82, 97,547.88 and 38,857.81

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Solution

The fourth proportional to 70,686.82, 97,547.88 and 38,857.81 is: 53,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,686.82 : 97,547.88 = 38,857.81 : x
  2. Step 2: Convert to fraction form
    70,686.82/97,547.88 = 38,857.81/x
  3. Step 3: Cross multiply
    70,686.82x = 97,547.88 × 38,857.81
  4. Step 4: Simplify right side
    70,686.82x = 3,790,496,986.94
  5. Step 5: Solve for x
    x = 3,790,496,986.94/70,686.82
  6. Step 6: Final answer
    x = 53,623.82

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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.