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Finding the Fourth Proportional to 70,146.94, 96,802.68 and 38,315.84

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Solution

The fourth proportional to 70,146.94, 96,802.68 and 38,315.84 is: 52,875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,146.94 : 96,802.68 = 38,315.84 : x
  2. Step 2: Convert to fraction form
    70,146.94/96,802.68 = 38,315.84/x
  3. Step 3: Cross multiply
    70,146.94x = 96,802.68 × 38,315.84
  4. Step 4: Simplify right side
    70,146.94x = 3,709,075,998.45
  5. Step 5: Solve for x
    x = 3,709,075,998.45/70,146.94
  6. Step 6: Final answer
    x = 52,875.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.