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Finding the Fourth Proportional to 32,762.24, 49,143.35 and 10,578.88

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Solution

The fourth proportional to 32,762.24, 49,143.35 and 10,578.88 is: 15,868.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,762.24 : 49,143.35 = 10,578.88 : x
  2. Step 2: Convert to fraction form
    32,762.24/49,143.35 = 10,578.88/x
  3. Step 3: Cross multiply
    32,762.24x = 49,143.35 × 10,578.88
  4. Step 4: Simplify right side
    32,762.24x = 519,881,602.45
  5. Step 5: Solve for x
    x = 519,881,602.45/32,762.24
  6. Step 6: Final answer
    x = 15,868.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.