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Finding the Fourth Proportional to 32,689.20, 49,038.24 and 10,495.20

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Solution

The fourth proportional to 32,689.20, 49,038.24 and 10,495.20 is: 15,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,689.20 : 49,038.24 = 10,495.20 : x
  2. Step 2: Convert to fraction form
    32,689.20/49,038.24 = 10,495.20/x
  3. Step 3: Cross multiply
    32,689.20x = 49,038.24 × 10,495.20
  4. Step 4: Simplify right side
    32,689.20x = 514,666,136.45
  5. Step 5: Solve for x
    x = 514,666,136.45/32,689.20
  6. Step 6: Final answer
    x = 15,744.23

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1.5x scale

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.