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Finding the Fourth Proportional to 32,307.84, 48,461.70 and 10,122.92

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Solution

The fourth proportional to 32,307.84, 48,461.70 and 10,122.92 is: 15,184.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,307.84 : 48,461.70 = 10,122.92 : x
  2. Step 2: Convert to fraction form
    32,307.84/48,461.70 = 10,122.92/x
  3. Step 3: Cross multiply
    32,307.84x = 48,461.70 × 10,122.92
  4. Step 4: Simplify right side
    32,307.84x = 490,573,669.86
  5. Step 5: Solve for x
    x = 490,573,669.86/32,307.84
  6. Step 6: Final answer
    x = 15,184.35

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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.