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Finding the Fourth Proportional to 70,701.40, 97,569.66 and 38,870.92

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Solution

The fourth proportional to 70,701.40, 97,569.66 and 38,870.92 is: 53,642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,701.40 : 97,569.66 = 38,870.92 : x
  2. Step 2: Convert to fraction form
    70,701.40/97,569.66 = 38,870.92/x
  3. Step 3: Cross multiply
    70,701.40x = 97,569.66 × 38,870.92
  4. Step 4: Simplify right side
    70,701.40x = 3,792,622,448.29
  5. Step 5: Solve for x
    x = 3,792,622,448.29/70,701.40
  6. Step 6: Final answer
    x = 53,642.82

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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.