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Finding the Fourth Proportional to 102,210.12, 153,315.86 and 35,650

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Solution

The fourth proportional to 102,210.12, 153,315.86 and 35,650 is: 53,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,210.12 : 153,315.86 = 35,650 : x
  2. Step 2: Convert to fraction form
    102,210.12/153,315.86 = 35,650/x
  3. Step 3: Cross multiply
    102,210.12x = 153,315.86 × 35,650
  4. Step 4: Simplify right side
    102,210.12x = 5,465,710,409.00
  5. Step 5: Solve for x
    x = 5,465,710,409.00/102,210.12
  6. Step 6: Final answer
    x = 53,475.24

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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.