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Finding the Fourth Proportional to 105,032.58, 157,461.39 and 38,460.30

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Solution

The fourth proportional to 105,032.58, 157,461.39 and 38,460.30 is: 57,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,032.58 : 157,461.39 = 38,460.30 : x
  2. Step 2: Convert to fraction form
    105,032.58/157,461.39 = 38,460.30/x
  3. Step 3: Cross multiply
    105,032.58x = 157,461.39 × 38,460.30
  4. Step 4: Simplify right side
    105,032.58x = 6,056,012,297.82
  5. Step 5: Solve for x
    x = 6,056,012,297.82/105,032.58
  6. Step 6: Final answer
    x = 57,658.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.