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Finding the Fourth Proportional to 105,566.16, 145,675.08 and 57,810

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Solution

The fourth proportional to 105,566.16, 145,675.08 and 57,810 is: 79,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,566.16 : 145,675.08 = 57,810 : x
  2. Step 2: Convert to fraction form
    105,566.16/145,675.08 = 57,810/x
  3. Step 3: Cross multiply
    105,566.16x = 145,675.08 × 57,810
  4. Step 4: Simplify right side
    105,566.16x = 8,421,476,374.80
  5. Step 5: Solve for x
    x = 8,421,476,374.80/105,566.16
  6. Step 6: Final answer
    x = 79,774.39

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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.