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Finding the Fourth Proportional to 102,095.20, 153,159.60 and 31,957.60

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Solution

The fourth proportional to 102,095.20, 153,159.60 and 31,957.60 is: 47,941.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,095.20 : 153,159.60 = 31,957.60 : x
  2. Step 2: Convert to fraction form
    102,095.20/153,159.60 = 31,957.60/x
  3. Step 3: Cross multiply
    102,095.20x = 153,159.60 × 31,957.60
  4. Step 4: Simplify right side
    102,095.20x = 4,894,613,232.96
  5. Step 5: Solve for x
    x = 4,894,613,232.96/102,095.20
  6. Step 6: Final answer
    x = 47,941.66

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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.