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Finding the Fourth Proportional to 70,037.04, 105,075 and 38,894.16

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Solution

The fourth proportional to 70,037.04, 105,075 and 38,894.16 is: 58,352.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,037.04 : 105,075 = 38,894.16 : x
  2. Step 2: Convert to fraction form
    70,037.04/105,075 = 38,894.16/x
  3. Step 3: Cross multiply
    70,037.04x = 105,075 × 38,894.16
  4. Step 4: Simplify right side
    70,037.04x = 4,086,803,862.00
  5. Step 5: Solve for x
    x = 4,086,803,862.00/70,037.04
  6. Step 6: Final answer
    x = 58,352.04

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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.