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Finding the Fourth Proportional to 49,614.90, 74,430.54 and 22,987.50

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Solution

The fourth proportional to 49,614.90, 74,430.54 and 22,987.50 is: 34,485.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,614.90 : 74,430.54 = 22,987.50 : x
  2. Step 2: Convert to fraction form
    49,614.90/74,430.54 = 22,987.50/x
  3. Step 3: Cross multiply
    49,614.90x = 74,430.54 × 22,987.50
  4. Step 4: Simplify right side
    49,614.90x = 1,710,972,038.25
  5. Step 5: Solve for x
    x = 1,710,972,038.25/49,614.90
  6. Step 6: Final answer
    x = 34,485.04

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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.