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Finding the Fourth Proportional to 32,601.84, 48,871.50 and 10,402.98

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Solution

The fourth proportional to 32,601.84, 48,871.50 and 10,402.98 is: 15,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,601.84 : 48,871.50 = 10,402.98 : x
  2. Step 2: Convert to fraction form
    32,601.84/48,871.50 = 10,402.98/x
  3. Step 3: Cross multiply
    32,601.84x = 48,871.50 × 10,402.98
  4. Step 4: Simplify right side
    32,601.84x = 508,409,237.07
  5. Step 5: Solve for x
    x = 508,409,237.07/32,601.84
  6. Step 6: Final answer
    x = 15,594.50

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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.