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Finding the Fourth Proportional to 83,110.46, 114,705.63 and 47,312.01

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Solution

The fourth proportional to 83,110.46, 114,705.63 and 47,312.01 is: 65,298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,110.46 : 114,705.63 = 47,312.01 : x
  2. Step 2: Convert to fraction form
    83,110.46/114,705.63 = 47,312.01/x
  3. Step 3: Cross multiply
    83,110.46x = 114,705.63 × 47,312.01
  4. Step 4: Simplify right side
    83,110.46x = 5,426,953,913.62
  5. Step 5: Solve for x
    x = 5,426,953,913.62/83,110.46
  6. Step 6: Final answer
    x = 65,298.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.