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Finding the Fourth Proportional to 84,534.84, 126,703.44 and 42,392.16

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Solution

The fourth proportional to 84,534.84, 126,703.44 and 42,392.16 is: 63,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,534.84 : 126,703.44 = 42,392.16 : x
  2. Step 2: Convert to fraction form
    84,534.84/126,703.44 = 42,392.16/x
  3. Step 3: Cross multiply
    84,534.84x = 126,703.44 × 42,392.16
  4. Step 4: Simplify right side
    84,534.84x = 5,371,232,501.03
  5. Step 5: Solve for x
    x = 5,371,232,501.03/84,534.84
  6. Step 6: Final answer
    x = 63,538.68

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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.