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Finding the Fourth Proportional to 30,495.84, 45,746.76 and 9,435.06

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Solution

The fourth proportional to 30,495.84, 45,746.76 and 9,435.06 is: 14,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,495.84 : 45,746.76 = 9,435.06 : x
  2. Step 2: Convert to fraction form
    30,495.84/45,746.76 = 9,435.06/x
  3. Step 3: Cross multiply
    30,495.84x = 45,746.76 × 9,435.06
  4. Step 4: Simplify right side
    30,495.84x = 431,623,425.41
  5. Step 5: Solve for x
    x = 431,623,425.41/30,495.84
  6. Step 6: Final answer
    x = 14,153.52

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1.5x scale

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.