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Finding the Fourth Proportional to 114,430.95, 171,532.44 and 54,354.06

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Solution

The fourth proportional to 114,430.95, 171,532.44 and 54,354.06 is: 81,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,430.95 : 171,532.44 = 54,354.06 : x
  2. Step 2: Convert to fraction form
    114,430.95/171,532.44 = 54,354.06/x
  3. Step 3: Cross multiply
    114,430.95x = 171,532.44 × 54,354.06
  4. Step 4: Simplify right side
    114,430.95x = 9,323,484,535.71
  5. Step 5: Solve for x
    x = 9,323,484,535.71/114,430.95
  6. Step 6: Final answer
    x = 81,476.95

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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.