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Finding the Fourth Proportional to 52,852.46, 72,894.04 and 46,465.48

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Solution

The fourth proportional to 52,852.46, 72,894.04 and 46,465.48 is: 64,085.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,852.46 : 72,894.04 = 46,465.48 : x
  2. Step 2: Convert to fraction form
    52,852.46/72,894.04 = 46,465.48/x
  3. Step 3: Cross multiply
    52,852.46x = 72,894.04 × 46,465.48
  4. Step 4: Simplify right side
    52,852.46x = 3,387,056,557.74
  5. Step 5: Solve for x
    x = 3,387,056,557.74/52,852.46
  6. Step 6: Final answer
    x = 64,085.13

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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.