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Finding the Fourth Proportional to 32,957.51, 49,444.69 and 9,583.95

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Solution

The fourth proportional to 32,957.51, 49,444.69 and 9,583.95 is: 14,378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,957.51 : 49,444.69 = 9,583.95 : x
  2. Step 2: Convert to fraction form
    32,957.51/49,444.69 = 9,583.95/x
  3. Step 3: Cross multiply
    32,957.51x = 49,444.69 × 9,583.95
  4. Step 4: Simplify right side
    32,957.51x = 473,875,212.44
  5. Step 5: Solve for x
    x = 473,875,212.44/32,957.51
  6. Step 6: Final answer
    x = 14,378.37

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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.