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Finding the Fourth Proportional to 94,428, 141,648.48 and 31,248

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Solution

The fourth proportional to 94,428, 141,648.48 and 31,248 is: 46,874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,428 : 141,648.48 = 31,248 : x
  2. Step 2: Convert to fraction form
    94,428/141,648.48 = 31,248/x
  3. Step 3: Cross multiply
    94,428x = 141,648.48 × 31,248
  4. Step 4: Simplify right side
    94,428x = 4,426,231,703.04
  5. Step 5: Solve for x
    x = 4,426,231,703.04/94,428
  6. Step 6: Final answer
    x = 46,874.14

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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.