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Finding the Fourth Proportional to 56,368, 77,784.72 and 31,215.52

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Solution

The fourth proportional to 56,368, 77,784.72 and 31,215.52 is: 43,075.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,368 : 77,784.72 = 31,215.52 : x
  2. Step 2: Convert to fraction form
    56,368/77,784.72 = 31,215.52/x
  3. Step 3: Cross multiply
    56,368x = 77,784.72 × 31,215.52
  4. Step 4: Simplify right side
    56,368x = 2,428,090,482.85
  5. Step 5: Solve for x
    x = 2,428,090,482.85/56,368
  6. Step 6: Final answer
    x = 43,075.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.