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Finding the Fourth Proportional to 75,643.60, 114,031.82 and 70,569.04

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Solution

The fourth proportional to 75,643.60, 114,031.82 and 70,569.04 is: 106,381.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,643.60 : 114,031.82 = 70,569.04 : x
  2. Step 2: Convert to fraction form
    75,643.60/114,031.82 = 70,569.04/x
  3. Step 3: Cross multiply
    75,643.60x = 114,031.82 × 70,569.04
  4. Step 4: Simplify right side
    75,643.60x = 8,047,116,066.85
  5. Step 5: Solve for x
    x = 8,047,116,066.85/75,643.60
  6. Step 6: Final answer
    x = 106,381.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.