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Finding the Fourth Proportional to 70,802.18, 97,706.25 and 38,970.39

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Solution

The fourth proportional to 70,802.18, 97,706.25 and 38,970.39 is: 53,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,802.18 : 97,706.25 = 38,970.39 : x
  2. Step 2: Convert to fraction form
    70,802.18/97,706.25 = 38,970.39/x
  3. Step 3: Cross multiply
    70,802.18x = 97,706.25 × 38,970.39
  4. Step 4: Simplify right side
    70,802.18x = 3,807,650,667.94
  5. Step 5: Solve for x
    x = 3,807,650,667.94/70,802.18
  6. Step 6: Final answer
    x = 53,778.72

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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.