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Finding the Fourth Proportional to 105,043.95, 157,434.53 and 52,468.11

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Solution

The fourth proportional to 105,043.95, 157,434.53 and 52,468.11 is: 78,636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,043.95 : 157,434.53 = 52,468.11 : x
  2. Step 2: Convert to fraction form
    105,043.95/157,434.53 = 52,468.11/x
  3. Step 3: Cross multiply
    105,043.95x = 157,434.53 × 52,468.11
  4. Step 4: Simplify right side
    105,043.95x = 8,260,291,975.50
  5. Step 5: Solve for x
    x = 8,260,291,975.50/105,043.95
  6. Step 6: Final answer
    x = 78,636.53

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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.