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Finding the Fourth Proportional to 102,341.48, 153,505.04 and 38,287.40

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Solution

The fourth proportional to 102,341.48, 153,505.04 and 38,287.40 is: 57,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,341.48 : 153,505.04 = 38,287.40 : x
  2. Step 2: Convert to fraction form
    102,341.48/153,505.04 = 38,287.40/x
  3. Step 3: Cross multiply
    102,341.48x = 153,505.04 × 38,287.40
  4. Step 4: Simplify right side
    102,341.48x = 5,877,308,868.50
  5. Step 5: Solve for x
    x = 5,877,308,868.50/102,341.48
  6. Step 6: Final answer
    x = 57,428.41

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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.