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Finding the Fourth Proportional to 97,710.90, 146,582.55 and 41,577.90

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Solution

The fourth proportional to 97,710.90, 146,582.55 and 41,577.90 is: 62,373.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,710.90 : 146,582.55 = 41,577.90 : x
  2. Step 2: Convert to fraction form
    97,710.90/146,582.55 = 41,577.90/x
  3. Step 3: Cross multiply
    97,710.90x = 146,582.55 × 41,577.90
  4. Step 4: Simplify right side
    97,710.90x = 6,094,594,605.65
  5. Step 5: Solve for x
    x = 6,094,594,605.65/97,710.90
  6. Step 6: Final answer
    x = 62,373.74

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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.