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Finding the Fourth Proportional to 73,641, 101,624.58 and 40,107

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Solution

The fourth proportional to 73,641, 101,624.58 and 40,107 is: 55,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,641 : 101,624.58 = 40,107 : x
  2. Step 2: Convert to fraction form
    73,641/101,624.58 = 40,107/x
  3. Step 3: Cross multiply
    73,641x = 101,624.58 × 40,107
  4. Step 4: Simplify right side
    73,641x = 4,075,857,030.06
  5. Step 5: Solve for x
    x = 4,075,857,030.06/73,641
  6. Step 6: Final answer
    x = 55,347.66

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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.