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Finding the Fourth Proportional to 32,970.15, 45,495.81 and 19,539.24

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Solution

The fourth proportional to 32,970.15, 45,495.81 and 19,539.24 is: 26,962.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970.15 : 45,495.81 = 19,539.24 : x
  2. Step 2: Convert to fraction form
    32,970.15/45,495.81 = 19,539.24/x
  3. Step 3: Cross multiply
    32,970.15x = 45,495.81 × 19,539.24
  4. Step 4: Simplify right side
    32,970.15x = 888,953,550.58
  5. Step 5: Solve for x
    x = 888,953,550.58/32,970.15
  6. Step 6: Final answer
    x = 26,962.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.