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Finding the Fourth Proportional to 110,038.54, 165,068.74 and 39,923.32

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Solution

The fourth proportional to 110,038.54, 165,068.74 and 39,923.32 is: 59,888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,038.54 : 165,068.74 = 39,923.32 : x
  2. Step 2: Convert to fraction form
    110,038.54/165,068.74 = 39,923.32/x
  3. Step 3: Cross multiply
    110,038.54x = 165,068.74 × 39,923.32
  4. Step 4: Simplify right side
    110,038.54x = 6,590,092,129.02
  5. Step 5: Solve for x
    x = 6,590,092,129.02/110,038.54
  6. Step 6: Final answer
    x = 59,888.95

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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.