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Finding the Fourth Proportional to 57,802.10, 86,703.15 and 35,543.30

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Solution

The fourth proportional to 57,802.10, 86,703.15 and 35,543.30 is: 53,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,802.10 : 86,703.15 = 35,543.30 : x
  2. Step 2: Convert to fraction form
    57,802.10/86,703.15 = 35,543.30/x
  3. Step 3: Cross multiply
    57,802.10x = 86,703.15 × 35,543.30
  4. Step 4: Simplify right side
    57,802.10x = 3,081,716,071.40
  5. Step 5: Solve for x
    x = 3,081,716,071.40/57,802.10
  6. Step 6: Final answer
    x = 53,314.95

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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.