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Finding the Fourth Proportional to 64,810.13, 89,437.97 and 35,002.13

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Solution

The fourth proportional to 64,810.13, 89,437.97 and 35,002.13 is: 48,302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,810.13 : 89,437.97 = 35,002.13 : x
  2. Step 2: Convert to fraction form
    64,810.13/89,437.97 = 35,002.13/x
  3. Step 3: Cross multiply
    64,810.13x = 89,437.97 × 35,002.13
  4. Step 4: Simplify right side
    64,810.13x = 3,130,519,093.19
  5. Step 5: Solve for x
    x = 3,130,519,093.19/64,810.13
  6. Step 6: Final answer
    x = 48,302.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.