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Finding the Fourth Proportional to 91,823.40, 137,735.10 and 52,457.40

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Solution

The fourth proportional to 91,823.40, 137,735.10 and 52,457.40 is: 78,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,823.40 : 137,735.10 = 52,457.40 : x
  2. Step 2: Convert to fraction form
    91,823.40/137,735.10 = 52,457.40/x
  3. Step 3: Cross multiply
    91,823.40x = 137,735.10 × 52,457.40
  4. Step 4: Simplify right side
    91,823.40x = 7,225,225,234.74
  5. Step 5: Solve for x
    x = 7,225,225,234.74/91,823.40
  6. Step 6: Final answer
    x = 78,686.10

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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.