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Finding the Fourth Proportional to 52,014, 78,007.95 and 14,564.37

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Solution

The fourth proportional to 52,014, 78,007.95 and 14,564.37 is: 21,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,014 : 78,007.95 = 14,564.37 : x
  2. Step 2: Convert to fraction form
    52,014/78,007.95 = 14,564.37/x
  3. Step 3: Cross multiply
    52,014x = 78,007.95 × 14,564.37
  4. Step 4: Simplify right side
    52,014x = 1,136,136,646.74
  5. Step 5: Solve for x
    x = 1,136,136,646.74/52,014
  6. Step 6: Final answer
    x = 21,842.90

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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.