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Finding the Fourth Proportional to 32,884.94, 49,312.92 and 10,390.02

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Solution

The fourth proportional to 32,884.94, 49,312.92 and 10,390.02 is: 15,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,884.94 : 49,312.92 = 10,390.02 : x
  2. Step 2: Convert to fraction form
    32,884.94/49,312.92 = 10,390.02/x
  3. Step 3: Cross multiply
    32,884.94x = 49,312.92 × 10,390.02
  4. Step 4: Simplify right side
    32,884.94x = 512,362,225.06
  5. Step 5: Solve for x
    x = 512,362,225.06/32,884.94
  6. Step 6: Final answer
    x = 15,580.45

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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.