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Finding the Fourth Proportional to 105,421.65, 145,482.93 and 57,677.01

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Solution

The fourth proportional to 105,421.65, 145,482.93 and 57,677.01 is: 79,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,421.65 : 145,482.93 = 57,677.01 : x
  2. Step 2: Convert to fraction form
    105,421.65/145,482.93 = 57,677.01/x
  3. Step 3: Cross multiply
    105,421.65x = 145,482.93 × 57,677.01
  4. Step 4: Simplify right side
    105,421.65x = 8,391,020,408.44
  5. Step 5: Solve for x
    x = 8,391,020,408.44/105,421.65
  6. Step 6: Final answer
    x = 79,594.85

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