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Finding the Fourth Proportional to 98,595.36, 147,895.20 and 32,035.50

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Solution

The fourth proportional to 98,595.36, 147,895.20 and 32,035.50 is: 48,053.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,595.36 : 147,895.20 = 32,035.50 : x
  2. Step 2: Convert to fraction form
    98,595.36/147,895.20 = 32,035.50/x
  3. Step 3: Cross multiply
    98,595.36x = 147,895.20 × 32,035.50
  4. Step 4: Simplify right side
    98,595.36x = 4,737,896,679.60
  5. Step 5: Solve for x
    x = 4,737,896,679.60/98,595.36
  6. Step 6: Final answer
    x = 48,053.95

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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.