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Finding the Fourth Proportional to 64,738.91, 97,075.53 and 29,648.49

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Solution

The fourth proportional to 64,738.91, 97,075.53 and 29,648.49 is: 44,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,738.91 : 97,075.53 = 29,648.49 : x
  2. Step 2: Convert to fraction form
    64,738.91/97,075.53 = 29,648.49/x
  3. Step 3: Cross multiply
    64,738.91x = 97,075.53 × 29,648.49
  4. Step 4: Simplify right side
    64,738.91x = 2,878,142,880.45
  5. Step 5: Solve for x
    x = 2,878,142,880.45/64,738.91
  6. Step 6: Final answer
    x = 44,457.70

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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.