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Finding the Fourth Proportional to 32,894.05, 49,341.02 and 9,520.45

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Solution

The fourth proportional to 32,894.05, 49,341.02 and 9,520.45 is: 14,280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,894.05 : 49,341.02 = 9,520.45 : x
  2. Step 2: Convert to fraction form
    32,894.05/49,341.02 = 9,520.45/x
  3. Step 3: Cross multiply
    32,894.05x = 49,341.02 × 9,520.45
  4. Step 4: Simplify right side
    32,894.05x = 469,748,666.26
  5. Step 5: Solve for x
    x = 469,748,666.26/32,894.05
  6. Step 6: Final answer
    x = 14,280.66

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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.