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Finding the Fourth Proportional to 102,430.16, 153,645.24 and 32,314.94

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Solution

The fourth proportional to 102,430.16, 153,645.24 and 32,314.94 is: 48,472.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,430.16 : 153,645.24 = 32,314.94 : x
  2. Step 2: Convert to fraction form
    102,430.16/153,645.24 = 32,314.94/x
  3. Step 3: Cross multiply
    102,430.16x = 153,645.24 × 32,314.94
  4. Step 4: Simplify right side
    102,430.16x = 4,965,036,711.89
  5. Step 5: Solve for x
    x = 4,965,036,711.89/102,430.16
  6. Step 6: Final answer
    x = 48,472.41

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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.