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Finding the Fourth Proportional to 65,482.47, 90,342.09 and 42,834.36

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Solution

The fourth proportional to 65,482.47, 90,342.09 and 42,834.36 is: 59,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,482.47 : 90,342.09 = 42,834.36 : x
  2. Step 2: Convert to fraction form
    65,482.47/90,342.09 = 42,834.36/x
  3. Step 3: Cross multiply
    65,482.47x = 90,342.09 × 42,834.36
  4. Step 4: Simplify right side
    65,482.47x = 3,869,745,606.21
  5. Step 5: Solve for x
    x = 3,869,745,606.21/65,482.47
  6. Step 6: Final answer
    x = 59,095.90

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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.