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Finding the Fourth Proportional to 102,521.20, 153,781.80 and 36,036.40

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Solution

The fourth proportional to 102,521.20, 153,781.80 and 36,036.40 is: 54,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,521.20 : 153,781.80 = 36,036.40 : x
  2. Step 2: Convert to fraction form
    102,521.20/153,781.80 = 36,036.40/x
  3. Step 3: Cross multiply
    102,521.20x = 153,781.80 × 36,036.40
  4. Step 4: Simplify right side
    102,521.20x = 5,541,742,457.52
  5. Step 5: Solve for x
    x = 5,541,742,457.52/102,521.20
  6. Step 6: Final answer
    x = 54,054.60

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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.