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Finding the Fourth Proportional to 52,412.14, 72,328.70 and 28,538.98

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Solution

The fourth proportional to 52,412.14, 72,328.70 and 28,538.98 is: 39,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,412.14 : 72,328.70 = 28,538.98 : x
  2. Step 2: Convert to fraction form
    52,412.14/72,328.70 = 28,538.98/x
  3. Step 3: Cross multiply
    52,412.14x = 72,328.70 × 28,538.98
  4. Step 4: Simplify right side
    52,412.14x = 2,064,187,640.17
  5. Step 5: Solve for x
    x = 2,064,187,640.17/52,412.14
  6. Step 6: Final answer
    x = 39,383.77

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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.