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Finding the Fourth Proportional to 105,051.80, 157,587.48 and 41,856.68

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Solution

The fourth proportional to 105,051.80, 157,587.48 and 41,856.68 is: 62,788.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,051.80 : 157,587.48 = 41,856.68 : x
  2. Step 2: Convert to fraction form
    105,051.80/157,587.48 = 41,856.68/x
  3. Step 3: Cross multiply
    105,051.80x = 157,587.48 × 41,856.68
  4. Step 4: Simplify right side
    105,051.80x = 6,596,088,722.37
  5. Step 5: Solve for x
    x = 6,596,088,722.37/105,051.80
  6. Step 6: Final answer
    x = 62,788.92

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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.