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Finding the Fourth Proportional to 32,574.02, 48,868.98 and 10,387.40

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Solution

The fourth proportional to 32,574.02, 48,868.98 and 10,387.40 is: 15,583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,574.02 : 48,868.98 = 10,387.40 : x
  2. Step 2: Convert to fraction form
    32,574.02/48,868.98 = 10,387.40/x
  3. Step 3: Cross multiply
    32,574.02x = 48,868.98 × 10,387.40
  4. Step 4: Simplify right side
    32,574.02x = 507,621,398.51
  5. Step 5: Solve for x
    x = 507,621,398.51/32,574.02
  6. Step 6: Final answer
    x = 15,583.63

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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.