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Finding the Fourth Proportional to 70,146.43, 96,802.58 and 38,315.32

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Solution

The fourth proportional to 70,146.43, 96,802.58 and 38,315.32 is: 52,875.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,146.43 : 96,802.58 = 38,315.32 : x
  2. Step 2: Convert to fraction form
    70,146.43/96,802.58 = 38,315.32/x
  3. Step 3: Cross multiply
    70,146.43x = 96,802.58 × 38,315.32
  4. Step 4: Simplify right side
    70,146.43x = 3,709,021,683.31
  5. Step 5: Solve for x
    x = 3,709,021,683.31/70,146.43
  6. Step 6: Final answer
    x = 52,875.42

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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.