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Finding the Fourth Proportional to 52,277.41, 78,368.59 and 18,983.17

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Solution

The fourth proportional to 52,277.41, 78,368.59 and 18,983.17 is: 28,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,277.41 : 78,368.59 = 18,983.17 : x
  2. Step 2: Convert to fraction form
    52,277.41/78,368.59 = 18,983.17/x
  3. Step 3: Cross multiply
    52,277.41x = 78,368.59 × 18,983.17
  4. Step 4: Simplify right side
    52,277.41x = 1,487,684,266.63
  5. Step 5: Solve for x
    x = 1,487,684,266.63/52,277.41
  6. Step 6: Final answer
    x = 28,457.50

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Why These Related Problems?

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