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Finding the Fourth Proportional to 102,386.60, 153,549.84 and 35,814.32

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Solution

The fourth proportional to 102,386.60, 153,549.84 and 35,814.32 is: 53,710.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,386.60 : 153,549.84 = 35,814.32 : x
  2. Step 2: Convert to fraction form
    102,386.60/153,549.84 = 35,814.32/x
  3. Step 3: Cross multiply
    102,386.60x = 153,549.84 × 35,814.32
  4. Step 4: Simplify right side
    102,386.60x = 5,499,283,105.71
  5. Step 5: Solve for x
    x = 5,499,283,105.71/102,386.60
  6. Step 6: Final answer
    x = 53,710.97

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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.