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Finding the Fourth Proportional to 102,594.80, 153,876.80 and 32,465

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Solution

The fourth proportional to 102,594.80, 153,876.80 and 32,465 is: 48,692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,594.80 : 153,876.80 = 32,465 : x
  2. Step 2: Convert to fraction form
    102,594.80/153,876.80 = 32,465/x
  3. Step 3: Cross multiply
    102,594.80x = 153,876.80 × 32,465
  4. Step 4: Simplify right side
    102,594.80x = 4,995,610,312
  5. Step 5: Solve for x
    x = 4,995,610,312/102,594.80
  6. Step 6: Final answer
    x = 48,692.63

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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.