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Finding the Fourth Proportional to 52,104.85, 78,176.10 and 20,497.46

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Solution

The fourth proportional to 52,104.85, 78,176.10 and 20,497.46 is: 30,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,104.85 : 78,176.10 = 20,497.46 : x
  2. Step 2: Convert to fraction form
    52,104.85/78,176.10 = 20,497.46/x
  3. Step 3: Cross multiply
    52,104.85x = 78,176.10 × 20,497.46
  4. Step 4: Simplify right side
    52,104.85x = 1,602,411,482.71
  5. Step 5: Solve for x
    x = 1,602,411,482.71/52,104.85
  6. Step 6: Final answer
    x = 30,753.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.