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Finding the Fourth Proportional to 96,492.84, 144,768.72 and 46,574.64

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Solution

The fourth proportional to 96,492.84, 144,768.72 and 46,574.64 is: 69,876.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,492.84 : 144,768.72 = 46,574.64 : x
  2. Step 2: Convert to fraction form
    96,492.84/144,768.72 = 46,574.64/x
  3. Step 3: Cross multiply
    96,492.84x = 144,768.72 × 46,574.64
  4. Step 4: Simplify right side
    96,492.84x = 6,742,551,017.26
  5. Step 5: Solve for x
    x = 6,742,551,017.26/96,492.84
  6. Step 6: Final answer
    x = 69,876.18

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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.