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Finding the Fourth Proportional to 74,559.96, 102,895.58 and 42,735

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Solution

The fourth proportional to 74,559.96, 102,895.58 and 42,735 is: 58,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,559.96 : 102,895.58 = 42,735 : x
  2. Step 2: Convert to fraction form
    74,559.96/102,895.58 = 42,735/x
  3. Step 3: Cross multiply
    74,559.96x = 102,895.58 × 42,735
  4. Step 4: Simplify right side
    74,559.96x = 4,397,242,397.63
  5. Step 5: Solve for x
    x = 4,397,242,397.63/74,559.96
  6. Step 6: Final answer
    x = 58,975.92

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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.