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Finding the Fourth Proportional to 56,802.60, 78,322.95 and 46,561.50

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Solution

The fourth proportional to 56,802.60, 78,322.95 and 46,561.50 is: 64,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,802.60 : 78,322.95 = 46,561.50 : x
  2. Step 2: Convert to fraction form
    56,802.60/78,322.95 = 46,561.50/x
  3. Step 3: Cross multiply
    56,802.60x = 78,322.95 × 46,561.50
  4. Step 4: Simplify right side
    56,802.60x = 3,646,834,036.43
  5. Step 5: Solve for x
    x = 3,646,834,036.43/56,802.60
  6. Step 6: Final answer
    x = 64,201.89

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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.