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Finding the Fourth Proportional to 81,210.90, 121,812.03 and 25,802.58

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Solution

The fourth proportional to 81,210.90, 121,812.03 and 25,802.58 is: 38,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,210.90 : 121,812.03 = 25,802.58 : x
  2. Step 2: Convert to fraction form
    81,210.90/121,812.03 = 25,802.58/x
  3. Step 3: Cross multiply
    81,210.90x = 121,812.03 × 25,802.58
  4. Step 4: Simplify right side
    81,210.90x = 3,143,064,649.04
  5. Step 5: Solve for x
    x = 3,143,064,649.04/81,210.90
  6. Step 6: Final answer
    x = 38,702.50

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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.