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Finding the Fourth Proportional to 70,701.84, 97,566.02 and 38,870.50

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Solution

The fourth proportional to 70,701.84, 97,566.02 and 38,870.50 is: 53,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,701.84 : 97,566.02 = 38,870.50 : x
  2. Step 2: Convert to fraction form
    70,701.84/97,566.02 = 38,870.50/x
  3. Step 3: Cross multiply
    70,701.84x = 97,566.02 × 38,870.50
  4. Step 4: Simplify right side
    70,701.84x = 3,792,439,980.41
  5. Step 5: Solve for x
    x = 3,792,439,980.41/70,701.84
  6. Step 6: Final answer
    x = 53,639.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.