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Finding the Fourth Proportional to 32,172.70, 48,259.05 and 31,006.30

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Solution

The fourth proportional to 32,172.70, 48,259.05 and 31,006.30 is: 46,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,172.70 : 48,259.05 = 31,006.30 : x
  2. Step 2: Convert to fraction form
    32,172.70/48,259.05 = 31,006.30/x
  3. Step 3: Cross multiply
    32,172.70x = 48,259.05 × 31,006.30
  4. Step 4: Simplify right side
    32,172.70x = 1,496,334,582.02
  5. Step 5: Solve for x
    x = 1,496,334,582.02/32,172.70
  6. Step 6: Final answer
    x = 46,509.45

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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.