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Finding the Fourth Proportional to 102,322.16, 153,473.52 and 35,750

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Solution

The fourth proportional to 102,322.16, 153,473.52 and 35,750 is: 53,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,322.16 : 153,473.52 = 35,750 : x
  2. Step 2: Convert to fraction form
    102,322.16/153,473.52 = 35,750/x
  3. Step 3: Cross multiply
    102,322.16x = 153,473.52 × 35,750
  4. Step 4: Simplify right side
    102,322.16x = 5,486,678,340
  5. Step 5: Solve for x
    x = 5,486,678,340/102,322.16
  6. Step 6: Final answer
    x = 53,621.60

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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.