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Finding the Fourth Proportional to 102,593.30, 153,904.35 and 32,465.30

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Solution

The fourth proportional to 102,593.30, 153,904.35 and 32,465.30 is: 48,702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,593.30 : 153,904.35 = 32,465.30 : x
  2. Step 2: Convert to fraction form
    102,593.30/153,904.35 = 32,465.30/x
  3. Step 3: Cross multiply
    102,593.30x = 153,904.35 × 32,465.30
  4. Step 4: Simplify right side
    102,593.30x = 4,996,550,894.06
  5. Step 5: Solve for x
    x = 4,996,550,894.06/102,593.30
  6. Step 6: Final answer
    x = 48,702.51

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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.