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Finding the Fourth Proportional to 105,032.16, 144,943.02 and 57,284.48

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Solution

The fourth proportional to 105,032.16, 144,943.02 and 57,284.48 is: 79,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,032.16 : 144,943.02 = 57,284.48 : x
  2. Step 2: Convert to fraction form
    105,032.16/144,943.02 = 57,284.48/x
  3. Step 3: Cross multiply
    105,032.16x = 144,943.02 × 57,284.48
  4. Step 4: Simplify right side
    105,032.16x = 8,302,985,892.69
  5. Step 5: Solve for x
    x = 8,302,985,892.69/105,032.16
  6. Step 6: Final answer
    x = 79,051.84

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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.