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Finding the Fourth Proportional to 91,803.90, 137,595.12 and 47,406.45

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Solution

The fourth proportional to 91,803.90, 137,595.12 and 47,406.45 is: 71,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,803.90 : 137,595.12 = 47,406.45 : x
  2. Step 2: Convert to fraction form
    91,803.90/137,595.12 = 47,406.45/x
  3. Step 3: Cross multiply
    91,803.90x = 137,595.12 × 47,406.45
  4. Step 4: Simplify right side
    91,803.90x = 6,522,896,176.52
  5. Step 5: Solve for x
    x = 6,522,896,176.52/91,803.90
  6. Step 6: Final answer
    x = 71,052.50

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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.