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Finding the Fourth Proportional to 70,981.34, 106,545.86 and 52,282.50

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Solution

The fourth proportional to 70,981.34, 106,545.86 and 52,282.50 is: 78,478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,981.34 : 106,545.86 = 52,282.50 : x
  2. Step 2: Convert to fraction form
    70,981.34/106,545.86 = 52,282.50/x
  3. Step 3: Cross multiply
    70,981.34x = 106,545.86 × 52,282.50
  4. Step 4: Simplify right side
    70,981.34x = 5,570,483,925.45
  5. Step 5: Solve for x
    x = 5,570,483,925.45/70,981.34
  6. Step 6: Final answer
    x = 78,478.15

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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.