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Finding the Fourth Proportional to 32,649.30, 48,973.74 and 15,762.60

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Solution

The fourth proportional to 32,649.30, 48,973.74 and 15,762.60 is: 23,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,649.30 : 48,973.74 = 15,762.60 : x
  2. Step 2: Convert to fraction form
    32,649.30/48,973.74 = 15,762.60/x
  3. Step 3: Cross multiply
    32,649.30x = 48,973.74 × 15,762.60
  4. Step 4: Simplify right side
    32,649.30x = 771,953,474.12
  5. Step 5: Solve for x
    x = 771,953,474.12/32,649.30
  6. Step 6: Final answer
    x = 23,643.80

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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.